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Finding the Fourth Proportional to 6,456.92, 9,677.58 and 3,335.21

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Solution

The fourth proportional to 6,456.92, 9,677.58 and 3,335.21 is: 4,998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.92 : 9,677.58 = 3,335.21 : x
  2. Step 2: Convert to fraction form
    6,456.92/9,677.58 = 3,335.21/x
  3. Step 3: Cross multiply
    6,456.92x = 9,677.58 × 3,335.21
  4. Step 4: Simplify right side
    6,456.92x = 32,276,761.59
  5. Step 5: Solve for x
    x = 32,276,761.59/6,456.92
  6. Step 6: Final answer
    x = 4,998.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.