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Finding the Fourth Proportional to 6,542.73, 9,814.08 and 2,649.87

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Solution

The fourth proportional to 6,542.73, 9,814.08 and 2,649.87 is: 3,974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.73 : 9,814.08 = 2,649.87 : x
  2. Step 2: Convert to fraction form
    6,542.73/9,814.08 = 2,649.87/x
  3. Step 3: Cross multiply
    6,542.73x = 9,814.08 × 2,649.87
  4. Step 4: Simplify right side
    6,542.73x = 26,006,036.17
  5. Step 5: Solve for x
    x = 26,006,036.17/6,542.73
  6. Step 6: Final answer
    x = 3,974.80

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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.