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Finding the Fourth Proportional to 6,468.16, 9,679.20 and 4,000.96

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Solution

The fourth proportional to 6,468.16, 9,679.20 and 4,000.96 is: 5,987.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.16 : 9,679.20 = 4,000.96 : x
  2. Step 2: Convert to fraction form
    6,468.16/9,679.20 = 4,000.96/x
  3. Step 3: Cross multiply
    6,468.16x = 9,679.20 × 4,000.96
  4. Step 4: Simplify right side
    6,468.16x = 38,726,092.03
  5. Step 5: Solve for x
    x = 38,726,092.03/6,468.16
  6. Step 6: Final answer
    x = 5,987.19

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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.