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Finding the Fourth Proportional to 6,850.53, 9,452.70 and 3,865.95

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Solution

The fourth proportional to 6,850.53, 9,452.70 and 3,865.95 is: 5,334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.53 : 9,452.70 = 3,865.95 : x
  2. Step 2: Convert to fraction form
    6,850.53/9,452.70 = 3,865.95/x
  3. Step 3: Cross multiply
    6,850.53x = 9,452.70 × 3,865.95
  4. Step 4: Simplify right side
    6,850.53x = 36,543,665.57
  5. Step 5: Solve for x
    x = 36,543,665.57/6,850.53
  6. Step 6: Final answer
    x = 5,334.43

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Why These Related Problems?

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