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Finding the Fourth Proportional to 6,691.44, 9,229.60 and 3,896.94

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Solution

The fourth proportional to 6,691.44, 9,229.60 and 3,896.94 is: 5,375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.44 : 9,229.60 = 3,896.94 : x
  2. Step 2: Convert to fraction form
    6,691.44/9,229.60 = 3,896.94/x
  3. Step 3: Cross multiply
    6,691.44x = 9,229.60 × 3,896.94
  4. Step 4: Simplify right side
    6,691.44x = 35,967,197.42
  5. Step 5: Solve for x
    x = 35,967,197.42/6,691.44
  6. Step 6: Final answer
    x = 5,375.11

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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.