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Finding the Fourth Proportional to 9,944.45, 13,723.39 and 5,468.48

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Solution

The fourth proportional to 9,944.45, 13,723.39 and 5,468.48 is: 7,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.45 : 13,723.39 = 5,468.48 : x
  2. Step 2: Convert to fraction form
    9,944.45/13,723.39 = 5,468.48/x
  3. Step 3: Cross multiply
    9,944.45x = 13,723.39 × 5,468.48
  4. Step 4: Simplify right side
    9,944.45x = 75,046,104.38
  5. Step 5: Solve for x
    x = 75,046,104.38/9,944.45
  6. Step 6: Final answer
    x = 7,546.54

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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.