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Finding the Fourth Proportional to 9,432.71, 14,151.90 and 3,807.49

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Solution

The fourth proportional to 9,432.71, 14,151.90 and 3,807.49 is: 5,712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.71 : 14,151.90 = 3,807.49 : x
  2. Step 2: Convert to fraction form
    9,432.71/14,151.90 = 3,807.49/x
  3. Step 3: Cross multiply
    9,432.71x = 14,151.90 × 3,807.49
  4. Step 4: Simplify right side
    9,432.71x = 53,883,127.93
  5. Step 5: Solve for x
    x = 53,883,127.93/9,432.71
  6. Step 6: Final answer
    x = 5,712.37

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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.