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Finding the Fourth Proportional to 6,149.32, 9,217.74 and 2,641.61

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Solution

The fourth proportional to 6,149.32, 9,217.74 and 2,641.61 is: 3,959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.32 : 9,217.74 = 2,641.61 : x
  2. Step 2: Convert to fraction form
    6,149.32/9,217.74 = 2,641.61/x
  3. Step 3: Cross multiply
    6,149.32x = 9,217.74 × 2,641.61
  4. Step 4: Simplify right side
    6,149.32x = 24,349,674.16
  5. Step 5: Solve for x
    x = 24,349,674.16/6,149.32
  6. Step 6: Final answer
    x = 3,959.73

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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.