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Finding the Fourth Proportional to 9,024.75, 12,454.09 and 5,045.85

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Solution

The fourth proportional to 9,024.75, 12,454.09 and 5,045.85 is: 6,963.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.75 : 12,454.09 = 5,045.85 : x
  2. Step 2: Convert to fraction form
    9,024.75/12,454.09 = 5,045.85/x
  3. Step 3: Cross multiply
    9,024.75x = 12,454.09 × 5,045.85
  4. Step 4: Simplify right side
    9,024.75x = 62,841,470.03
  5. Step 5: Solve for x
    x = 62,841,470.03/9,024.75
  6. Step 6: Final answer
    x = 6,963.24

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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.