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Finding the Fourth Proportional to 6,143.26, 9,170.19 and 5,686.82

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Solution

The fourth proportional to 6,143.26, 9,170.19 and 5,686.82 is: 8,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.26 : 9,170.19 = 5,686.82 : x
  2. Step 2: Convert to fraction form
    6,143.26/9,170.19 = 5,686.82/x
  3. Step 3: Cross multiply
    6,143.26x = 9,170.19 × 5,686.82
  4. Step 4: Simplify right side
    6,143.26x = 52,149,221.50
  5. Step 5: Solve for x
    x = 52,149,221.50/6,143.26
  6. Step 6: Final answer
    x = 8,488.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.