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Finding the Fourth Proportional to 6,314.52, 8,713.66 and 3,481.76

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Solution

The fourth proportional to 6,314.52, 8,713.66 and 3,481.76 is: 4,804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.52 : 8,713.66 = 3,481.76 : x
  2. Step 2: Convert to fraction form
    6,314.52/8,713.66 = 3,481.76/x
  3. Step 3: Cross multiply
    6,314.52x = 8,713.66 × 3,481.76
  4. Step 4: Simplify right side
    6,314.52x = 30,338,872.84
  5. Step 5: Solve for x
    x = 30,338,872.84/6,314.52
  6. Step 6: Final answer
    x = 4,804.62

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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.