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Finding the Fourth Proportional to 6,753.96, 9,314.14 and 4,481.28

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Solution

The fourth proportional to 6,753.96, 9,314.14 and 4,481.28 is: 6,179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.96 : 9,314.14 = 4,481.28 : x
  2. Step 2: Convert to fraction form
    6,753.96/9,314.14 = 4,481.28/x
  3. Step 3: Cross multiply
    6,753.96x = 9,314.14 × 4,481.28
  4. Step 4: Simplify right side
    6,753.96x = 41,739,269.30
  5. Step 5: Solve for x
    x = 41,739,269.30/6,753.96
  6. Step 6: Final answer
    x = 6,179.97

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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.