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Finding the Fourth Proportional to 6,369.88, 9,542.39 and 4,171.94

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Solution

The fourth proportional to 6,369.88, 9,542.39 and 4,171.94 is: 6,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.88 : 9,542.39 = 4,171.94 : x
  2. Step 2: Convert to fraction form
    6,369.88/9,542.39 = 4,171.94/x
  3. Step 3: Cross multiply
    6,369.88x = 9,542.39 × 4,171.94
  4. Step 4: Simplify right side
    6,369.88x = 39,810,278.54
  5. Step 5: Solve for x
    x = 39,810,278.54/6,369.88
  6. Step 6: Final answer
    x = 6,249.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.