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Finding the Fourth Proportional to 9,016, 12,444.28 and 5,481.56

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Solution

The fourth proportional to 9,016, 12,444.28 and 5,481.56 is: 7,565.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,016 : 12,444.28 = 5,481.56 : x
  2. Step 2: Convert to fraction form
    9,016/12,444.28 = 5,481.56/x
  3. Step 3: Cross multiply
    9,016x = 12,444.28 × 5,481.56
  4. Step 4: Simplify right side
    9,016x = 68,214,067.48
  5. Step 5: Solve for x
    x = 68,214,067.48/9,016
  6. Step 6: Final answer
    x = 7,565.89

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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.