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Finding the Fourth Proportional to 9,198.74, 12,692.34 and 6,016.70

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Solution

The fourth proportional to 9,198.74, 12,692.34 and 6,016.70 is: 8,301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.74 : 12,692.34 = 6,016.70 : x
  2. Step 2: Convert to fraction form
    9,198.74/12,692.34 = 6,016.70/x
  3. Step 3: Cross multiply
    9,198.74x = 12,692.34 × 6,016.70
  4. Step 4: Simplify right side
    9,198.74x = 76,366,002.08
  5. Step 5: Solve for x
    x = 76,366,002.08/9,198.74
  6. Step 6: Final answer
    x = 8,301.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.