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Finding the Fourth Proportional to 9,103.65, 12,565.42 and 5,569.83

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Solution

The fourth proportional to 9,103.65, 12,565.42 and 5,569.83 is: 7,687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.65 : 12,565.42 = 5,569.83 : x
  2. Step 2: Convert to fraction form
    9,103.65/12,565.42 = 5,569.83/x
  3. Step 3: Cross multiply
    9,103.65x = 12,565.42 × 5,569.83
  4. Step 4: Simplify right side
    9,103.65x = 69,987,253.28
  5. Step 5: Solve for x
    x = 69,987,253.28/9,103.65
  6. Step 6: Final answer
    x = 7,687.82

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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.