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Finding the Fourth Proportional to 9,024.75, 12,454.16 and 5,487.28

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Solution

The fourth proportional to 9,024.75, 12,454.16 and 5,487.28 is: 7,572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.75 : 12,454.16 = 5,487.28 : x
  2. Step 2: Convert to fraction form
    9,024.75/12,454.16 = 5,487.28/x
  3. Step 3: Cross multiply
    9,024.75x = 12,454.16 × 5,487.28
  4. Step 4: Simplify right side
    9,024.75x = 68,339,404.51
  5. Step 5: Solve for x
    x = 68,339,404.51/9,024.75
  6. Step 6: Final answer
    x = 7,572.44

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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.