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Finding the Fourth Proportional to 6,451.27, 9,676.90 and 2,069.07

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Solution

The fourth proportional to 6,451.27, 9,676.90 and 2,069.07 is: 3,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.27 : 9,676.90 = 2,069.07 : x
  2. Step 2: Convert to fraction form
    6,451.27/9,676.90 = 2,069.07/x
  3. Step 3: Cross multiply
    6,451.27x = 9,676.90 × 2,069.07
  4. Step 4: Simplify right side
    6,451.27x = 20,022,149.78
  5. Step 5: Solve for x
    x = 20,022,149.78/6,451.27
  6. Step 6: Final answer
    x = 3,103.60

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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.