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Finding the Fourth Proportional to 6,487.96, 8,942.87 and 5,069.17

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Solution

The fourth proportional to 6,487.96, 8,942.87 and 5,069.17 is: 6,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.96 : 8,942.87 = 5,069.17 : x
  2. Step 2: Convert to fraction form
    6,487.96/8,942.87 = 5,069.17/x
  3. Step 3: Cross multiply
    6,487.96x = 8,942.87 × 5,069.17
  4. Step 4: Simplify right side
    6,487.96x = 45,332,902.17
  5. Step 5: Solve for x
    x = 45,332,902.17/6,487.96
  6. Step 6: Final answer
    x = 6,987.24

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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.