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Finding the Fourth Proportional to 6,391.68, 9,586.71 and 2,498.82

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Solution

The fourth proportional to 6,391.68, 9,586.71 and 2,498.82 is: 3,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.68 : 9,586.71 = 2,498.82 : x
  2. Step 2: Convert to fraction form
    6,391.68/9,586.71 = 2,498.82/x
  3. Step 3: Cross multiply
    6,391.68x = 9,586.71 × 2,498.82
  4. Step 4: Simplify right side
    6,391.68x = 23,955,462.68
  5. Step 5: Solve for x
    x = 23,955,462.68/6,391.68
  6. Step 6: Final answer
    x = 3,747.91

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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.