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Finding the Fourth Proportional to 6,456.04, 9,672.54 and 3,380.20

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Solution

The fourth proportional to 6,456.04, 9,672.54 and 3,380.20 is: 5,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.04 : 9,672.54 = 3,380.20 : x
  2. Step 2: Convert to fraction form
    6,456.04/9,672.54 = 3,380.20/x
  3. Step 3: Cross multiply
    6,456.04x = 9,672.54 × 3,380.20
  4. Step 4: Simplify right side
    6,456.04x = 32,695,119.71
  5. Step 5: Solve for x
    x = 32,695,119.71/6,456.04
  6. Step 6: Final answer
    x = 5,064.27

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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.