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Finding the Fourth Proportional to 6,400.92, 9,601.34 and 2,451.27

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Solution

The fourth proportional to 6,400.92, 9,601.34 and 2,451.27 is: 3,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.92 : 9,601.34 = 2,451.27 : x
  2. Step 2: Convert to fraction form
    6,400.92/9,601.34 = 2,451.27/x
  3. Step 3: Cross multiply
    6,400.92x = 9,601.34 × 2,451.27
  4. Step 4: Simplify right side
    6,400.92x = 23,535,464.45
  5. Step 5: Solve for x
    x = 23,535,464.45/6,400.92
  6. Step 6: Final answer
    x = 3,676.89

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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.