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Finding the Fourth Proportional to 9,924.01, 13,694.13 and 5,945.02

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Solution

The fourth proportional to 9,924.01, 13,694.13 and 5,945.02 is: 8,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.01 : 13,694.13 = 5,945.02 : x
  2. Step 2: Convert to fraction form
    9,924.01/13,694.13 = 5,945.02/x
  3. Step 3: Cross multiply
    9,924.01x = 13,694.13 × 5,945.02
  4. Step 4: Simplify right side
    9,924.01x = 81,411,876.73
  5. Step 5: Solve for x
    x = 81,411,876.73/9,924.01
  6. Step 6: Final answer
    x = 8,203.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.