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Finding the Fourth Proportional to 9,944, 14,908.26 and 5,257.88

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Solution

The fourth proportional to 9,944, 14,908.26 and 5,257.88 is: 7,882.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944 : 14,908.26 = 5,257.88 : x
  2. Step 2: Convert to fraction form
    9,944/14,908.26 = 5,257.88/x
  3. Step 3: Cross multiply
    9,944x = 14,908.26 × 5,257.88
  4. Step 4: Simplify right side
    9,944x = 78,385,842.09
  5. Step 5: Solve for x
    x = 78,385,842.09/9,944
  6. Step 6: Final answer
    x = 7,882.73

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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.