To determine which of the given ratios is equivalent to 32, we can evaluate each option.
- \( \frac{9}{6} = \frac{3}{2} = 1.5 \)
- \( \frac{2}{3} \approx 0.67 \)
- \( \frac{9}{4} = 2.25 \)
Now, we compare each to the value of 32. None of the fractions provided are equal to 32.
Therefore, none of the ratios listed are equivalent to 32.