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Finding the Fourth Proportional to 6,082.25, 9,123.96 and 2,796.26

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Solution

The fourth proportional to 6,082.25, 9,123.96 and 2,796.26 is: 4,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.25 : 9,123.96 = 2,796.26 : x
  2. Step 2: Convert to fraction form
    6,082.25/9,123.96 = 2,796.26/x
  3. Step 3: Cross multiply
    6,082.25x = 9,123.96 × 2,796.26
  4. Step 4: Simplify right side
    6,082.25x = 25,512,964.39
  5. Step 5: Solve for x
    x = 25,512,964.39/6,082.25
  6. Step 6: Final answer
    x = 4,194.66

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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.