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Finding the Fourth Proportional to 6,314.08, 8,713.48 and 3,481.68

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Solution

The fourth proportional to 6,314.08, 8,713.48 and 3,481.68 is: 4,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.08 : 8,713.48 = 3,481.68 : x
  2. Step 2: Convert to fraction form
    6,314.08/8,713.48 = 3,481.68/x
  3. Step 3: Cross multiply
    6,314.08x = 8,713.48 × 3,481.68
  4. Step 4: Simplify right side
    6,314.08x = 30,337,549.05
  5. Step 5: Solve for x
    x = 30,337,549.05/6,314.08
  6. Step 6: Final answer
    x = 4,804.75

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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.