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Finding the Fourth Proportional to 8,402.40, 12,614.49 and 5,938.38

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Solution

The fourth proportional to 8,402.40, 12,614.49 and 5,938.38 is: 8,915.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.40 : 12,614.49 = 5,938.38 : x
  2. Step 2: Convert to fraction form
    8,402.40/12,614.49 = 5,938.38/x
  3. Step 3: Cross multiply
    8,402.40x = 12,614.49 × 5,938.38
  4. Step 4: Simplify right side
    8,402.40x = 74,909,635.13
  5. Step 5: Solve for x
    x = 74,909,635.13/8,402.40
  6. Step 6: Final answer
    x = 8,915.27

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