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Finding the Fourth Proportional to 9,002.57, 12,424.17 and 5,024.46

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Solution

The fourth proportional to 9,002.57, 12,424.17 and 5,024.46 is: 6,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.57 : 12,424.17 = 5,024.46 : x
  2. Step 2: Convert to fraction form
    9,002.57/12,424.17 = 5,024.46/x
  3. Step 3: Cross multiply
    9,002.57x = 12,424.17 × 5,024.46
  4. Step 4: Simplify right side
    9,002.57x = 62,424,764.04
  5. Step 5: Solve for x
    x = 62,424,764.04/9,002.57
  6. Step 6: Final answer
    x = 6,934.10

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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.