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Finding the Fourth Proportional to 6,189.82, 9,288.78 and 5,689.24

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Solution

The fourth proportional to 6,189.82, 9,288.78 and 5,689.24 is: 8,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.82 : 9,288.78 = 5,689.24 : x
  2. Step 2: Convert to fraction form
    6,189.82/9,288.78 = 5,689.24/x
  3. Step 3: Cross multiply
    6,189.82x = 9,288.78 × 5,689.24
  4. Step 4: Simplify right side
    6,189.82x = 52,846,098.73
  5. Step 5: Solve for x
    x = 52,846,098.73/6,189.82
  6. Step 6: Final answer
    x = 8,537.58

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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.