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Finding the Fourth Proportional to 6,082.49, 9,097.81 and 3,736.73

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Solution

The fourth proportional to 6,082.49, 9,097.81 and 3,736.73 is: 5,589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.49 : 9,097.81 = 3,736.73 : x
  2. Step 2: Convert to fraction form
    6,082.49/9,097.81 = 3,736.73/x
  3. Step 3: Cross multiply
    6,082.49x = 9,097.81 × 3,736.73
  4. Step 4: Simplify right side
    6,082.49x = 33,996,059.56
  5. Step 5: Solve for x
    x = 33,996,059.56/6,082.49
  6. Step 6: Final answer
    x = 5,589.17

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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.