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Finding the Fourth Proportional to 8,369.26, 12,542.94 and 6,272.78

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Solution

The fourth proportional to 8,369.26, 12,542.94 and 6,272.78 is: 9,400.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.26 : 12,542.94 = 6,272.78 : x
  2. Step 2: Convert to fraction form
    8,369.26/12,542.94 = 6,272.78/x
  3. Step 3: Cross multiply
    8,369.26x = 12,542.94 × 6,272.78
  4. Step 4: Simplify right side
    8,369.26x = 78,679,103.17
  5. Step 5: Solve for x
    x = 78,679,103.17/8,369.26
  6. Step 6: Final answer
    x = 9,400.96

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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.