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Finding the Fourth Proportional to 9,198.94, 13,806.42 and 4,819.48

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Solution

The fourth proportional to 9,198.94, 13,806.42 and 4,819.48 is: 7,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.94 : 13,806.42 = 4,819.48 : x
  2. Step 2: Convert to fraction form
    9,198.94/13,806.42 = 4,819.48/x
  3. Step 3: Cross multiply
    9,198.94x = 13,806.42 × 4,819.48
  4. Step 4: Simplify right side
    9,198.94x = 66,539,765.06
  5. Step 5: Solve for x
    x = 66,539,765.06/9,198.94
  6. Step 6: Final answer
    x = 7,233.42

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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.