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Finding the Fourth Proportional to 10,732.71, 14,732.14 and 9,527.43

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Solution

The fourth proportional to 10,732.71, 14,732.14 and 9,527.43 is: 13,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.71 : 14,732.14 = 9,527.43 : x
  2. Step 2: Convert to fraction form
    10,732.71/14,732.14 = 9,527.43/x
  3. Step 3: Cross multiply
    10,732.71x = 14,732.14 × 9,527.43
  4. Step 4: Simplify right side
    10,732.71x = 140,359,408.78
  5. Step 5: Solve for x
    x = 140,359,408.78/10,732.71
  6. Step 6: Final answer
    x = 13,077.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.