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Finding the Fourth Proportional to 6,821.92, 9,414.48 and 4,027.36

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Solution

The fourth proportional to 6,821.92, 9,414.48 and 4,027.36 is: 5,557.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.92 : 9,414.48 = 4,027.36 : x
  2. Step 2: Convert to fraction form
    6,821.92/9,414.48 = 4,027.36/x
  3. Step 3: Cross multiply
    6,821.92x = 9,414.48 × 4,027.36
  4. Step 4: Simplify right side
    6,821.92x = 37,915,500.17
  5. Step 5: Solve for x
    x = 37,915,500.17/6,821.92
  6. Step 6: Final answer
    x = 5,557.89

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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.