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Finding the Fourth Proportional to 6,431.12, 8,873.82 and 3,912.44

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Solution

The fourth proportional to 6,431.12, 8,873.82 and 3,912.44 is: 5,398.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.12 : 8,873.82 = 3,912.44 : x
  2. Step 2: Convert to fraction form
    6,431.12/8,873.82 = 3,912.44/x
  3. Step 3: Cross multiply
    6,431.12x = 8,873.82 × 3,912.44
  4. Step 4: Simplify right side
    6,431.12x = 34,718,288.32
  5. Step 5: Solve for x
    x = 34,718,288.32/6,431.12
  6. Step 6: Final answer
    x = 5,398.48

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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.