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Finding the Fourth Proportional to 29,193.75, 43,796.07 and 9,469.73

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Solution

The fourth proportional to 29,193.75, 43,796.07 and 9,469.73 is: 14,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,193.75 : 43,796.07 = 9,469.73 : x
  2. Step 2: Convert to fraction form
    29,193.75/43,796.07 = 9,469.73/x
  3. Step 3: Cross multiply
    29,193.75x = 43,796.07 × 9,469.73
  4. Step 4: Simplify right side
    29,193.75x = 414,737,067.45
  5. Step 5: Solve for x
    x = 414,737,067.45/29,193.75
  6. Step 6: Final answer
    x = 14,206.36

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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.