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Finding the Fourth Proportional to 10,142.92, 14,002.66 and 6,791.45

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Solution

The fourth proportional to 10,142.92, 14,002.66 and 6,791.45 is: 9,375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.92 : 14,002.66 = 6,791.45 : x
  2. Step 2: Convert to fraction form
    10,142.92/14,002.66 = 6,791.45/x
  3. Step 3: Cross multiply
    10,142.92x = 14,002.66 × 6,791.45
  4. Step 4: Simplify right side
    10,142.92x = 95,098,265.53
  5. Step 5: Solve for x
    x = 95,098,265.53/10,142.92
  6. Step 6: Final answer
    x = 9,375.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.