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Finding the Fourth Proportional to 9,863.44, 13,610.64 and 5,882.56

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Solution

The fourth proportional to 9,863.44, 13,610.64 and 5,882.56 is: 8,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.44 : 13,610.64 = 5,882.56 : x
  2. Step 2: Convert to fraction form
    9,863.44/13,610.64 = 5,882.56/x
  3. Step 3: Cross multiply
    9,863.44x = 13,610.64 × 5,882.56
  4. Step 4: Simplify right side
    9,863.44x = 80,065,406.44
  5. Step 5: Solve for x
    x = 80,065,406.44/9,863.44
  6. Step 6: Final answer
    x = 8,117.39

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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.