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Finding the Fourth Proportional to 9,082.56, 13,616.49 and 2,839.36

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Solution

The fourth proportional to 9,082.56, 13,616.49 and 2,839.36 is: 4,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.56 : 13,616.49 = 2,839.36 : x
  2. Step 2: Convert to fraction form
    9,082.56/13,616.49 = 2,839.36/x
  3. Step 3: Cross multiply
    9,082.56x = 13,616.49 × 2,839.36
  4. Step 4: Simplify right side
    9,082.56x = 38,662,102.85
  5. Step 5: Solve for x
    x = 38,662,102.85/9,082.56
  6. Step 6: Final answer
    x = 4,256.74

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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.