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Finding the Fourth Proportional to 6,314.54, 8,713.71 and 3,481.82

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Solution

The fourth proportional to 6,314.54, 8,713.71 and 3,481.82 is: 4,804.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.54 : 8,713.71 = 3,481.82 : x
  2. Step 2: Convert to fraction form
    6,314.54/8,713.71 = 3,481.82/x
  3. Step 3: Cross multiply
    6,314.54x = 8,713.71 × 3,481.82
  4. Step 4: Simplify right side
    6,314.54x = 30,339,569.75
  5. Step 5: Solve for x
    x = 30,339,569.75/6,314.54
  6. Step 6: Final answer
    x = 4,804.72

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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.