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Finding the Fourth Proportional to 6,739, 9,299.52 and 3,754.96

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Solution

The fourth proportional to 6,739, 9,299.52 and 3,754.96 is: 5,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739 : 9,299.52 = 3,754.96 : x
  2. Step 2: Convert to fraction form
    6,739/9,299.52 = 3,754.96/x
  3. Step 3: Cross multiply
    6,739x = 9,299.52 × 3,754.96
  4. Step 4: Simplify right side
    6,739x = 34,919,325.62
  5. Step 5: Solve for x
    x = 34,919,325.62/6,739
  6. Step 6: Final answer
    x = 5,181.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.