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Finding the Fourth Proportional to 6,276.92, 8,662.14 and 3,444.31

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Solution

The fourth proportional to 6,276.92, 8,662.14 and 3,444.31 is: 4,753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.92 : 8,662.14 = 3,444.31 : x
  2. Step 2: Convert to fraction form
    6,276.92/8,662.14 = 3,444.31/x
  3. Step 3: Cross multiply
    6,276.92x = 8,662.14 × 3,444.31
  4. Step 4: Simplify right side
    6,276.92x = 29,835,073.77
  5. Step 5: Solve for x
    x = 29,835,073.77/6,276.92
  6. Step 6: Final answer
    x = 4,753.14

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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.