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Finding the Fourth Proportional to 6,006.82, 9,003.84 and 3,542.80

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Solution

The fourth proportional to 6,006.82, 9,003.84 and 3,542.80 is: 5,310.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006.82 : 9,003.84 = 3,542.80 : x
  2. Step 2: Convert to fraction form
    6,006.82/9,003.84 = 3,542.80/x
  3. Step 3: Cross multiply
    6,006.82x = 9,003.84 × 3,542.80
  4. Step 4: Simplify right side
    6,006.82x = 31,898,772.62
  5. Step 5: Solve for x
    x = 31,898,772.62/6,006.82
  6. Step 6: Final answer
    x = 5,310.43

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