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Finding the Fourth Proportional to 6,738.76, 9,299.64 and 3,754.90

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Solution

The fourth proportional to 6,738.76, 9,299.64 and 3,754.90 is: 5,181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.76 : 9,299.64 = 3,754.90 : x
  2. Step 2: Convert to fraction form
    6,738.76/9,299.64 = 3,754.90/x
  3. Step 3: Cross multiply
    6,738.76x = 9,299.64 × 3,754.90
  4. Step 4: Simplify right side
    6,738.76x = 34,919,218.24
  5. Step 5: Solve for x
    x = 34,919,218.24/6,738.76
  6. Step 6: Final answer
    x = 5,181.85

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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.