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Finding the Fourth Proportional to 9,198.71, 13,788.47 and 4,264.28

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Solution

The fourth proportional to 9,198.71, 13,788.47 and 4,264.28 is: 6,391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.71 : 13,788.47 = 4,264.28 : x
  2. Step 2: Convert to fraction form
    9,198.71/13,788.47 = 4,264.28/x
  3. Step 3: Cross multiply
    9,198.71x = 13,788.47 × 4,264.28
  4. Step 4: Simplify right side
    9,198.71x = 58,797,806.59
  5. Step 5: Solve for x
    x = 58,797,806.59/9,198.71
  6. Step 6: Final answer
    x = 6,391.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.