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Finding the Fourth Proportional to 9,082.52, 13,629.03 and 3,817.11

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Solution

The fourth proportional to 9,082.52, 13,629.03 and 3,817.11 is: 5,727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.52 : 13,629.03 = 3,817.11 : x
  2. Step 2: Convert to fraction form
    9,082.52/13,629.03 = 3,817.11/x
  3. Step 3: Cross multiply
    9,082.52x = 13,629.03 × 3,817.11
  4. Step 4: Simplify right side
    9,082.52x = 52,023,506.70
  5. Step 5: Solve for x
    x = 52,023,506.70/9,082.52
  6. Step 6: Final answer
    x = 5,727.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.