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Finding the Fourth Proportional to 6,411.36, 8,846.55 and 3,892.97

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Solution

The fourth proportional to 6,411.36, 8,846.55 and 3,892.97 is: 5,371.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.36 : 8,846.55 = 3,892.97 : x
  2. Step 2: Convert to fraction form
    6,411.36/8,846.55 = 3,892.97/x
  3. Step 3: Cross multiply
    6,411.36x = 8,846.55 × 3,892.97
  4. Step 4: Simplify right side
    6,411.36x = 34,439,375.87
  5. Step 5: Solve for x
    x = 34,439,375.87/6,411.36
  6. Step 6: Final answer
    x = 5,371.61

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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.