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Finding the Fourth Proportional to 9,082.80, 13,589.82 and 6,146.46

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Solution

The fourth proportional to 9,082.80, 13,589.82 and 6,146.46 is: 9,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.80 : 13,589.82 = 6,146.46 : x
  2. Step 2: Convert to fraction form
    9,082.80/13,589.82 = 6,146.46/x
  3. Step 3: Cross multiply
    9,082.80x = 13,589.82 × 6,146.46
  4. Step 4: Simplify right side
    9,082.80x = 83,529,285.04
  5. Step 5: Solve for x
    x = 83,529,285.04/9,082.80
  6. Step 6: Final answer
    x = 9,196.42

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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.