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Finding the Fourth Proportional to 9,244, 13,847.67 and 4,306.85

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Solution

The fourth proportional to 9,244, 13,847.67 and 4,306.85 is: 6,451.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244 : 13,847.67 = 4,306.85 : x
  2. Step 2: Convert to fraction form
    9,244/13,847.67 = 4,306.85/x
  3. Step 3: Cross multiply
    9,244x = 13,847.67 × 4,306.85
  4. Step 4: Simplify right side
    9,244x = 59,639,837.54
  5. Step 5: Solve for x
    x = 59,639,837.54/9,244
  6. Step 6: Final answer
    x = 6,451.73

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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.