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Finding the Fourth Proportional to 9,963.88, 14,940.62 and 2,942.97

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Solution

The fourth proportional to 9,963.88, 14,940.62 and 2,942.97 is: 4,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.88 : 14,940.62 = 2,942.97 : x
  2. Step 2: Convert to fraction form
    9,963.88/14,940.62 = 2,942.97/x
  3. Step 3: Cross multiply
    9,963.88x = 14,940.62 × 2,942.97
  4. Step 4: Simplify right side
    9,963.88x = 43,969,736.74
  5. Step 5: Solve for x
    x = 43,969,736.74/9,963.88
  6. Step 6: Final answer
    x = 4,412.91

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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.