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Finding the Fourth Proportional to 6,452.43, 9,677.73 and 2,069.31

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Solution

The fourth proportional to 6,452.43, 9,677.73 and 2,069.31 is: 3,103.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.43 : 9,677.73 = 2,069.31 : x
  2. Step 2: Convert to fraction form
    6,452.43/9,677.73 = 2,069.31/x
  3. Step 3: Cross multiply
    6,452.43x = 9,677.73 × 2,069.31
  4. Step 4: Simplify right side
    6,452.43x = 20,026,255.88
  5. Step 5: Solve for x
    x = 20,026,255.88/6,452.43
  6. Step 6: Final answer
    x = 3,103.68

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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.