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Finding the Fourth Proportional to 6,738.69, 9,299.40 and 3,755.11

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Solution

The fourth proportional to 6,738.69, 9,299.40 and 3,755.11 is: 5,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.69 : 9,299.40 = 3,755.11 : x
  2. Step 2: Convert to fraction form
    6,738.69/9,299.40 = 3,755.11/x
  3. Step 3: Cross multiply
    6,738.69x = 9,299.40 × 3,755.11
  4. Step 4: Simplify right side
    6,738.69x = 34,920,269.93
  5. Step 5: Solve for x
    x = 34,920,269.93/6,738.69
  6. Step 6: Final answer
    x = 5,182.06

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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.