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Finding the Fourth Proportional to 6,084.56, 9,112.87 and 3,863.24

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Solution

The fourth proportional to 6,084.56, 9,112.87 and 3,863.24 is: 5,785.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084.56 : 9,112.87 = 3,863.24 : x
  2. Step 2: Convert to fraction form
    6,084.56/9,112.87 = 3,863.24/x
  3. Step 3: Cross multiply
    6,084.56x = 9,112.87 × 3,863.24
  4. Step 4: Simplify right side
    6,084.56x = 35,205,148.68
  5. Step 5: Solve for x
    x = 35,205,148.68/6,084.56
  6. Step 6: Final answer
    x = 5,785.98

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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.