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Finding the Fourth Proportional to 9,024.62, 12,454.16 and 5,045.90

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Solution

The fourth proportional to 9,024.62, 12,454.16 and 5,045.90 is: 6,963.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.62 : 12,454.16 = 5,045.90 : x
  2. Step 2: Convert to fraction form
    9,024.62/12,454.16 = 5,045.90/x
  3. Step 3: Cross multiply
    9,024.62x = 12,454.16 × 5,045.90
  4. Step 4: Simplify right side
    9,024.62x = 62,842,358.44
  5. Step 5: Solve for x
    x = 62,842,358.44/9,024.62
  6. Step 6: Final answer
    x = 6,963.44

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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.