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Finding the Fourth Proportional to 9,082.87, 12,534.41 and 5,496.64

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Solution

The fourth proportional to 9,082.87, 12,534.41 and 5,496.64 is: 7,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.87 : 12,534.41 = 5,496.64 : x
  2. Step 2: Convert to fraction form
    9,082.87/12,534.41 = 5,496.64/x
  3. Step 3: Cross multiply
    9,082.87x = 12,534.41 × 5,496.64
  4. Step 4: Simplify right side
    9,082.87x = 68,897,121.79
  5. Step 5: Solve for x
    x = 68,897,121.79/9,082.87
  6. Step 6: Final answer
    x = 7,585.39

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Why These Related Problems?

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