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Finding the Fourth Proportional to 9,444, 14,163.78 and 3,891.84

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Solution

The fourth proportional to 9,444, 14,163.78 and 3,891.84 is: 5,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444 : 14,163.78 = 3,891.84 : x
  2. Step 2: Convert to fraction form
    9,444/14,163.78 = 3,891.84/x
  3. Step 3: Cross multiply
    9,444x = 14,163.78 × 3,891.84
  4. Step 4: Simplify right side
    9,444x = 55,123,165.56
  5. Step 5: Solve for x
    x = 55,123,165.56/9,444
  6. Step 6: Final answer
    x = 5,836.85

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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.