Answer: The ratios are equivalent.
Work Shown
3/4 = 9/12
3*12 = 4*9
36 = 36
We arrive at the same thing on both sides. This proves that 3/4 and 9/12 are equivalent fractions. Both evaluate to the decimal 0.75
I used the cross multiplication rule for the 2nd step.
Another way to see why 3/4 = 9/12 is to triple both parts of 3/4.