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Finding the Fourth Proportional to 6,198.18, 9,287.36 and 5,568.74

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Solution

The fourth proportional to 6,198.18, 9,287.36 and 5,568.74 is: 8,344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.18 : 9,287.36 = 5,568.74 : x
  2. Step 2: Convert to fraction form
    6,198.18/9,287.36 = 5,568.74/x
  3. Step 3: Cross multiply
    6,198.18x = 9,287.36 × 5,568.74
  4. Step 4: Simplify right side
    6,198.18x = 51,718,893.13
  5. Step 5: Solve for x
    x = 51,718,893.13/6,198.18
  6. Step 6: Final answer
    x = 8,344.21

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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.