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Finding the Fourth Proportional to 6,082.57, 9,119.81 and 2,186.47

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Solution

The fourth proportional to 6,082.57, 9,119.81 and 2,186.47 is: 3,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.57 : 9,119.81 = 2,186.47 : x
  2. Step 2: Convert to fraction form
    6,082.57/9,119.81 = 2,186.47/x
  3. Step 3: Cross multiply
    6,082.57x = 9,119.81 × 2,186.47
  4. Step 4: Simplify right side
    6,082.57x = 19,940,208.30
  5. Step 5: Solve for x
    x = 19,940,208.30/6,082.57
  6. Step 6: Final answer
    x = 3,278.25

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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.