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Finding the Fourth Proportional to 10,252.62, 15,397.47 and 9,471.78

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Solution

The fourth proportional to 10,252.62, 15,397.47 and 9,471.78 is: 14,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.62 : 15,397.47 = 9,471.78 : x
  2. Step 2: Convert to fraction form
    10,252.62/15,397.47 = 9,471.78/x
  3. Step 3: Cross multiply
    10,252.62x = 15,397.47 × 9,471.78
  4. Step 4: Simplify right side
    10,252.62x = 145,841,448.40
  5. Step 5: Solve for x
    x = 145,841,448.40/10,252.62
  6. Step 6: Final answer
    x = 14,224.80

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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.