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Finding the Fourth Proportional to 6,592.06, 9,891.33 and 3,082.31

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Solution

The fourth proportional to 6,592.06, 9,891.33 and 3,082.31 is: 4,624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.06 : 9,891.33 = 3,082.31 : x
  2. Step 2: Convert to fraction form
    6,592.06/9,891.33 = 3,082.31/x
  3. Step 3: Cross multiply
    6,592.06x = 9,891.33 × 3,082.31
  4. Step 4: Simplify right side
    6,592.06x = 30,488,095.92
  5. Step 5: Solve for x
    x = 30,488,095.92/6,592.06
  6. Step 6: Final answer
    x = 4,624.97

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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.