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Finding the Fourth Proportional to 9,951.88, 14,927.82 and 3,382.78

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Solution

The fourth proportional to 9,951.88, 14,927.82 and 3,382.78 is: 5,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.88 : 14,927.82 = 3,382.78 : x
  2. Step 2: Convert to fraction form
    9,951.88/14,927.82 = 3,382.78/x
  3. Step 3: Cross multiply
    9,951.88x = 14,927.82 × 3,382.78
  4. Step 4: Simplify right side
    9,951.88x = 50,497,530.94
  5. Step 5: Solve for x
    x = 50,497,530.94/9,951.88
  6. Step 6: Final answer
    x = 5,074.17

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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.