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Finding the Fourth Proportional to 9,923.21, 13,694.21 and 5,447.38

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Solution

The fourth proportional to 9,923.21, 13,694.21 and 5,447.38 is: 7,517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.21 : 13,694.21 = 5,447.38 : x
  2. Step 2: Convert to fraction form
    9,923.21/13,694.21 = 5,447.38/x
  3. Step 3: Cross multiply
    9,923.21x = 13,694.21 × 5,447.38
  4. Step 4: Simplify right side
    9,923.21x = 74,597,565.67
  5. Step 5: Solve for x
    x = 74,597,565.67/9,923.21
  6. Step 6: Final answer
    x = 7,517.48

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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.