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Finding the Fourth Proportional to 6,738.74, 9,299.55 and 3,906.27

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Solution

The fourth proportional to 6,738.74, 9,299.55 and 3,906.27 is: 5,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.74 : 9,299.55 = 3,906.27 : x
  2. Step 2: Convert to fraction form
    6,738.74/9,299.55 = 3,906.27/x
  3. Step 3: Cross multiply
    6,738.74x = 9,299.55 × 3,906.27
  4. Step 4: Simplify right side
    6,738.74x = 36,326,514.21
  5. Step 5: Solve for x
    x = 36,326,514.21/6,738.74
  6. Step 6: Final answer
    x = 5,390.70

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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.