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Finding the Fourth Proportional to 6,089.25, 9,107.82 and 5,082.47

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Solution

The fourth proportional to 6,089.25, 9,107.82 and 5,082.47 is: 7,601.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.25 : 9,107.82 = 5,082.47 : x
  2. Step 2: Convert to fraction form
    6,089.25/9,107.82 = 5,082.47/x
  3. Step 3: Cross multiply
    6,089.25x = 9,107.82 × 5,082.47
  4. Step 4: Simplify right side
    6,089.25x = 46,290,221.92
  5. Step 5: Solve for x
    x = 46,290,221.92/6,089.25
  6. Step 6: Final answer
    x = 7,601.96

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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.