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Finding the Fourth Proportional to 9,031.41, 12,463.83 and 5,052.29

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Solution

The fourth proportional to 9,031.41, 12,463.83 and 5,052.29 is: 6,972.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.41 : 12,463.83 = 5,052.29 : x
  2. Step 2: Convert to fraction form
    9,031.41/12,463.83 = 5,052.29/x
  3. Step 3: Cross multiply
    9,031.41x = 12,463.83 × 5,052.29
  4. Step 4: Simplify right side
    9,031.41x = 62,970,821.35
  5. Step 5: Solve for x
    x = 62,970,821.35/9,031.41
  6. Step 6: Final answer
    x = 6,972.42

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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.