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Finding the Fourth Proportional to 9,044.04, 13,565.92 and 5,487

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Solution

The fourth proportional to 9,044.04, 13,565.92 and 5,487 is: 8,230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,044.04 : 13,565.92 = 5,487 : x
  2. Step 2: Convert to fraction form
    9,044.04/13,565.92 = 5,487/x
  3. Step 3: Cross multiply
    9,044.04x = 13,565.92 × 5,487
  4. Step 4: Simplify right side
    9,044.04x = 74,436,203.04
  5. Step 5: Solve for x
    x = 74,436,203.04/9,044.04
  6. Step 6: Final answer
    x = 8,230.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.