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Finding the Fourth Proportional to 9,024.49, 12,454.06 and 5,045.62

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Solution

The fourth proportional to 9,024.49, 12,454.06 and 5,045.62 is: 6,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.49 : 12,454.06 = 5,045.62 : x
  2. Step 2: Convert to fraction form
    9,024.49/12,454.06 = 5,045.62/x
  3. Step 3: Cross multiply
    9,024.49x = 12,454.06 × 5,045.62
  4. Step 4: Simplify right side
    9,024.49x = 62,838,454.22
  5. Step 5: Solve for x
    x = 62,838,454.22/9,024.49
  6. Step 6: Final answer
    x = 6,963.10

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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.