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Finding the Fourth Proportional to 6,846.31, 9,447.85 and 3,862.17

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Solution

The fourth proportional to 6,846.31, 9,447.85 and 3,862.17 is: 5,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.31 : 9,447.85 = 3,862.17 : x
  2. Step 2: Convert to fraction form
    6,846.31/9,447.85 = 3,862.17/x
  3. Step 3: Cross multiply
    6,846.31x = 9,447.85 × 3,862.17
  4. Step 4: Simplify right side
    6,846.31x = 36,489,202.83
  5. Step 5: Solve for x
    x = 36,489,202.83/6,846.31
  6. Step 6: Final answer
    x = 5,329.76

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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.