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Finding the Fourth Proportional to 6,186.26, 9,279.40 and 2,082.26

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Solution

The fourth proportional to 6,186.26, 9,279.40 and 2,082.26 is: 3,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.26 : 9,279.40 = 2,082.26 : x
  2. Step 2: Convert to fraction form
    6,186.26/9,279.40 = 2,082.26/x
  3. Step 3: Cross multiply
    6,186.26x = 9,279.40 × 2,082.26
  4. Step 4: Simplify right side
    6,186.26x = 19,322,123.44
  5. Step 5: Solve for x
    x = 19,322,123.44/6,186.26
  6. Step 6: Final answer
    x = 3,123.39

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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.