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Finding the Fourth Proportional to 9,082.32, 12,584.03 and 8,885.46

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Solution

The fourth proportional to 9,082.32, 12,584.03 and 8,885.46 is: 12,311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.32 : 12,584.03 = 8,885.46 : x
  2. Step 2: Convert to fraction form
    9,082.32/12,584.03 = 8,885.46/x
  3. Step 3: Cross multiply
    9,082.32x = 12,584.03 × 8,885.46
  4. Step 4: Simplify right side
    9,082.32x = 111,814,850.78
  5. Step 5: Solve for x
    x = 111,814,850.78/9,082.32
  6. Step 6: Final answer
    x = 12,311.27

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.