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Finding the Fourth Proportional to 9,073.78, 13,614.17 and 3,531.03

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Solution

The fourth proportional to 9,073.78, 13,614.17 and 3,531.03 is: 5,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,073.78 : 13,614.17 = 3,531.03 : x
  2. Step 2: Convert to fraction form
    9,073.78/13,614.17 = 3,531.03/x
  3. Step 3: Cross multiply
    9,073.78x = 13,614.17 × 3,531.03
  4. Step 4: Simplify right side
    9,073.78x = 48,072,025.04
  5. Step 5: Solve for x
    x = 48,072,025.04/9,073.78
  6. Step 6: Final answer
    x = 5,297.91

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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.