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Finding the Fourth Proportional to 9,082.12, 13,592.13 and 6,311.92

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Solution

The fourth proportional to 9,082.12, 13,592.13 and 6,311.92 is: 9,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.12 : 13,592.13 = 6,311.92 : x
  2. Step 2: Convert to fraction form
    9,082.12/13,592.13 = 6,311.92/x
  3. Step 3: Cross multiply
    9,082.12x = 13,592.13 × 6,311.92
  4. Step 4: Simplify right side
    9,082.12x = 85,792,437.19
  5. Step 5: Solve for x
    x = 85,792,437.19/9,082.12
  6. Step 6: Final answer
    x = 9,446.30

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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.