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Finding the Fourth Proportional to 6,585.87, 9,082.62 and 3,932.31

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Solution

The fourth proportional to 6,585.87, 9,082.62 and 3,932.31 is: 5,423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.87 : 9,082.62 = 3,932.31 : x
  2. Step 2: Convert to fraction form
    6,585.87/9,082.62 = 3,932.31/x
  3. Step 3: Cross multiply
    6,585.87x = 9,082.62 × 3,932.31
  4. Step 4: Simplify right side
    6,585.87x = 35,715,677.45
  5. Step 5: Solve for x
    x = 35,715,677.45/6,585.87
  6. Step 6: Final answer
    x = 5,423.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.