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Finding the Fourth Proportional to 6,098.44, 9,149.14 and 2,399.72

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Solution

The fourth proportional to 6,098.44, 9,149.14 and 2,399.72 is: 3,600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.44 : 9,149.14 = 2,399.72 : x
  2. Step 2: Convert to fraction form
    6,098.44/9,149.14 = 2,399.72/x
  3. Step 3: Cross multiply
    6,098.44x = 9,149.14 × 2,399.72
  4. Step 4: Simplify right side
    6,098.44x = 21,955,374.24
  5. Step 5: Solve for x
    x = 21,955,374.24/6,098.44
  6. Step 6: Final answer
    x = 3,600.16

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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.