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Finding the Fourth Proportional to 6,197.98, 9,296.97 and 2,302.69

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Solution

The fourth proportional to 6,197.98, 9,296.97 and 2,302.69 is: 3,454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.98 : 9,296.97 = 2,302.69 : x
  2. Step 2: Convert to fraction form
    6,197.98/9,296.97 = 2,302.69/x
  3. Step 3: Cross multiply
    6,197.98x = 9,296.97 × 2,302.69
  4. Step 4: Simplify right side
    6,197.98x = 21,408,039.85
  5. Step 5: Solve for x
    x = 21,408,039.85/6,197.98
  6. Step 6: Final answer
    x = 3,454.04

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