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Finding the Fourth Proportional to 6,469.55, 9,679.73 and 3,998.24

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Solution

The fourth proportional to 6,469.55, 9,679.73 and 3,998.24 is: 5,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.55 : 9,679.73 = 3,998.24 : x
  2. Step 2: Convert to fraction form
    6,469.55/9,679.73 = 3,998.24/x
  3. Step 3: Cross multiply
    6,469.55x = 9,679.73 × 3,998.24
  4. Step 4: Simplify right side
    6,469.55x = 38,701,887.88
  5. Step 5: Solve for x
    x = 38,701,887.88/6,469.55
  6. Step 6: Final answer
    x = 5,982.16

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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.