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Finding the Fourth Proportional to 6,082.30, 9,130.23 and 3,315.73

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Solution

The fourth proportional to 6,082.30, 9,130.23 and 3,315.73 is: 4,977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.30 : 9,130.23 = 3,315.73 : x
  2. Step 2: Convert to fraction form
    6,082.30/9,130.23 = 3,315.73/x
  3. Step 3: Cross multiply
    6,082.30x = 9,130.23 × 3,315.73
  4. Step 4: Simplify right side
    6,082.30x = 30,273,377.52
  5. Step 5: Solve for x
    x = 30,273,377.52/6,082.30
  6. Step 6: Final answer
    x = 4,977.29

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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.