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Finding the Fourth Proportional to 6,314.32, 8,713.96 and 3,481.82

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Solution

The fourth proportional to 6,314.32, 8,713.96 and 3,481.82 is: 4,805.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.32 : 8,713.96 = 3,481.82 : x
  2. Step 2: Convert to fraction form
    6,314.32/8,713.96 = 3,481.82/x
  3. Step 3: Cross multiply
    6,314.32x = 8,713.96 × 3,481.82
  4. Step 4: Simplify right side
    6,314.32x = 30,340,396.64
  5. Step 5: Solve for x
    x = 30,340,396.64/6,314.32
  6. Step 6: Final answer
    x = 4,805.02

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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.