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Finding the Fourth Proportional to 6,638.92, 9,164.82 and 3,843.88

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Solution

The fourth proportional to 6,638.92, 9,164.82 and 3,843.88 is: 5,306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.92 : 9,164.82 = 3,843.88 : x
  2. Step 2: Convert to fraction form
    6,638.92/9,164.82 = 3,843.88/x
  3. Step 3: Cross multiply
    6,638.92x = 9,164.82 × 3,843.88
  4. Step 4: Simplify right side
    6,638.92x = 35,228,468.30
  5. Step 5: Solve for x
    x = 35,228,468.30/6,638.92
  6. Step 6: Final answer
    x = 5,306.36

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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.