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Finding the Fourth Proportional to 9,932.38, 13,706.73 and 5,456.22

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Solution

The fourth proportional to 9,932.38, 13,706.73 and 5,456.22 is: 7,529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.38 : 13,706.73 = 5,456.22 : x
  2. Step 2: Convert to fraction form
    9,932.38/13,706.73 = 5,456.22/x
  3. Step 3: Cross multiply
    9,932.38x = 13,706.73 × 5,456.22
  4. Step 4: Simplify right side
    9,932.38x = 74,786,934.36
  5. Step 5: Solve for x
    x = 74,786,934.36/9,932.38
  6. Step 6: Final answer
    x = 7,529.61

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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.