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The correct answer to this open question is the following.
Although there are no references about the movie, an article, or a link to the movie, we can help you by commenting based on our knowledge of the topic.
Wendell Smith had such a personal stake in the success of Jackie Robinson because he covered and supported his career from the very beginning.
Wendell Smith had chosen three African American players to participate in a tryout for the Boston Red Sox. One of them was Jackie Robison, who, at that time, played for the Kansas City Monarchs. He was a shortstop.
For whatever reasons that try-out was canceled, but at that moment Smith received a call from Branch Ricky, the General Manager of the Brooklin Dodgers, and that is when Smith talk to Rickey about the quality of Robinson as a baseball player.
Wendell Smith has personal stake in Robinson because he knew him as a good player who can do miracles on the field.
Jackie Robinson
The movie this question is talking about is "42". It is based on the life of Jackie Robinson played by late actor Chadwick. Wendell Smith (the African American reporter) chronicles Jackie Robinson’s first season in Major League Baseball.
Wendell Smith had personal stake in the success of Jackie Robinson because during tryout match for the Boston Red Sox, Smith chosen three African American players, out of which Robinson seemed to be promising.
Thus, Smith understood Robinson's talent, and trusted him, therefore he had such a personal stake in the success of Jackie Robinson.
Learn More about Jackie Robinson here:
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