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Finding the Fourth Proportional to 6,296.97, 8,691.65 and 4,201.09

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Solution

The fourth proportional to 6,296.97, 8,691.65 and 4,201.09 is: 5,798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.97 : 8,691.65 = 4,201.09 : x
  2. Step 2: Convert to fraction form
    6,296.97/8,691.65 = 4,201.09/x
  3. Step 3: Cross multiply
    6,296.97x = 8,691.65 × 4,201.09
  4. Step 4: Simplify right side
    6,296.97x = 36,514,403.90
  5. Step 5: Solve for x
    x = 36,514,403.90/6,296.97
  6. Step 6: Final answer
    x = 5,798.73

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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.