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Finding the Fourth Proportional to 6,431.92, 9,652.24 and 2,969.44

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Solution

The fourth proportional to 6,431.92, 9,652.24 and 2,969.44 is: 4,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.92 : 9,652.24 = 2,969.44 : x
  2. Step 2: Convert to fraction form
    6,431.92/9,652.24 = 2,969.44/x
  3. Step 3: Cross multiply
    6,431.92x = 9,652.24 × 2,969.44
  4. Step 4: Simplify right side
    6,431.92x = 28,661,747.55
  5. Step 5: Solve for x
    x = 28,661,747.55/6,431.92
  6. Step 6: Final answer
    x = 4,456.17

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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.