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Finding the Fourth Proportional to 9,082.30, 13,617.98 and 5,922.09

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Solution

The fourth proportional to 9,082.30, 13,617.98 and 5,922.09 is: 8,879.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.30 : 13,617.98 = 5,922.09 : x
  2. Step 2: Convert to fraction form
    9,082.30/13,617.98 = 5,922.09/x
  3. Step 3: Cross multiply
    9,082.30x = 13,617.98 × 5,922.09
  4. Step 4: Simplify right side
    9,082.30x = 80,646,903.18
  5. Step 5: Solve for x
    x = 80,646,903.18/9,082.30
  6. Step 6: Final answer
    x = 8,879.57

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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.