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Finding the Fourth Proportional to 9,612.72, 14,419.08 and 2,316.72

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Solution

The fourth proportional to 9,612.72, 14,419.08 and 2,316.72 is: 3,475.08

Step by Step Solution

Step 1: Write the proportion equation
9,612.72 : 14,419.08 = 2,316.72 : x
Step 2: Convert to fraction form
9,612.72/14,419.08 = 2,316.72/x
Step 3: Cross multiply
9,612.72x = 14,419.08 × 2,316.72
Step 4: Simplify right side
9,612.72x = 33,404,971.02
Step 5: Solve for x
x = 33,404,971.02/9,612.72
Step 6: Final answer
x = 3,475.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.