Solve the proportion: 3/x = 9/4 for x.

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Multiple Choice

Solve the proportion: 3/x = 9/4 for x.

Explanation:
Proportions like 3/x = 9/4 are solved by cross-multiplication: multiply the numerator of each side by the opposite denominator. So 3/x = 9/4 becomes 3 times 4 equals x times 9. That is 12 = 9x, and solving for x gives x = 12/9 = 4/3. You can verify by substitution: 3/(4/3) simplifies to 3 × 3/4 = 9/4, which matches the other side. So the solution is x = 4/3.

Proportions like 3/x = 9/4 are solved by cross-multiplication: multiply the numerator of each side by the opposite denominator. So 3/x = 9/4 becomes 3 times 4 equals x times 9. That is 12 = 9x, and solving for x gives x = 12/9 = 4/3. You can verify by substitution: 3/(4/3) simplifies to 3 × 3/4 = 9/4, which matches the other side. So the solution is x = 4/3.

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