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Finding the Fourth Proportional to 9,031.58, 12,463.29 and 5,052.61

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Solution

The fourth proportional to 9,031.58, 12,463.29 and 5,052.61 is: 6,972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.58 : 12,463.29 = 5,052.61 : x
  2. Step 2: Convert to fraction form
    9,031.58/12,463.29 = 5,052.61/x
  3. Step 3: Cross multiply
    9,031.58x = 12,463.29 × 5,052.61
  4. Step 4: Simplify right side
    9,031.58x = 62,972,147.06
  5. Step 5: Solve for x
    x = 62,972,147.06/9,031.58
  6. Step 6: Final answer
    x = 6,972.44

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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.