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Finding the Fourth Proportional to 9,031.71, 12,463.47 and 5,052.74

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Solution

The fourth proportional to 9,031.71, 12,463.47 and 5,052.74 is: 6,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.71 : 12,463.47 = 5,052.74 : x
  2. Step 2: Convert to fraction form
    9,031.71/12,463.47 = 5,052.74/x
  3. Step 3: Cross multiply
    9,031.71x = 12,463.47 × 5,052.74
  4. Step 4: Simplify right side
    9,031.71x = 62,974,585.83
  5. Step 5: Solve for x
    x = 62,974,585.83/9,031.71
  6. Step 6: Final answer
    x = 6,972.61

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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.