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Finding the Fourth Proportional to 6,756.25, 9,324.71 and 3,961.75

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Solution

The fourth proportional to 6,756.25, 9,324.71 and 3,961.75 is: 5,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756.25 : 9,324.71 = 3,961.75 : x
  2. Step 2: Convert to fraction form
    6,756.25/9,324.71 = 3,961.75/x
  3. Step 3: Cross multiply
    6,756.25x = 9,324.71 × 3,961.75
  4. Step 4: Simplify right side
    6,756.25x = 36,942,169.84
  5. Step 5: Solve for x
    x = 36,942,169.84/6,756.25
  6. Step 6: Final answer
    x = 5,467.85

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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.