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To find the ratio equivalent to 32, we need to divide 32 by a common factor. Let's go through each option:
1) 1: This is not equivalent to 32 because 1 is not equal to 32.
2) 2/3: This is not equivalent to 32 because 2/3 is less than 1.
3) 9/6: To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3. Simplifying, we get 3/2.
4) 9/4: This is not equivalent to 32 because 9/4 is less than 3.
Therefore, the ratio equivalent to 32 is 3/2.