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Finding the Fourth Proportional to 6,099.75, 9,149.63 and 2,639.43

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Solution

The fourth proportional to 6,099.75, 9,149.63 and 2,639.43 is: 3,959.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.75 : 9,149.63 = 2,639.43 : x
  2. Step 2: Convert to fraction form
    6,099.75/9,149.63 = 2,639.43/x
  3. Step 3: Cross multiply
    6,099.75x = 9,149.63 × 2,639.43
  4. Step 4: Simplify right side
    6,099.75x = 24,149,794.71
  5. Step 5: Solve for x
    x = 24,149,794.71/6,099.75
  6. Step 6: Final answer
    x = 3,959.15

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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.