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Finding the Fourth Proportional to 6,933.14, 9,567.78 and 3,789.38

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Solution

The fourth proportional to 6,933.14, 9,567.78 and 3,789.38 is: 5,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933.14 : 9,567.78 = 3,789.38 : x
  2. Step 2: Convert to fraction form
    6,933.14/9,567.78 = 3,789.38/x
  3. Step 3: Cross multiply
    6,933.14x = 9,567.78 × 3,789.38
  4. Step 4: Simplify right side
    6,933.14x = 36,255,954.18
  5. Step 5: Solve for x
    x = 36,255,954.18/6,933.14
  6. Step 6: Final answer
    x = 5,229.37

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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.