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Finding the Fourth Proportional to 9,006.80, 12,429.42 and 5,467.64

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Solution

The fourth proportional to 9,006.80, 12,429.42 and 5,467.64 is: 7,545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.80 : 12,429.42 = 5,467.64 : x
  2. Step 2: Convert to fraction form
    9,006.80/12,429.42 = 5,467.64/x
  3. Step 3: Cross multiply
    9,006.80x = 12,429.42 × 5,467.64
  4. Step 4: Simplify right side
    9,006.80x = 67,959,593.97
  5. Step 5: Solve for x
    x = 67,959,593.97/9,006.80
  6. Step 6: Final answer
    x = 7,545.37

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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.