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Finding the Fourth Proportional to 9,198.67, 12,694.44 and 6,514.69

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Solution

The fourth proportional to 9,198.67, 12,694.44 and 6,514.69 is: 8,990.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.67 : 12,694.44 = 6,514.69 : x
  2. Step 2: Convert to fraction form
    9,198.67/12,694.44 = 6,514.69/x
  3. Step 3: Cross multiply
    9,198.67x = 12,694.44 × 6,514.69
  4. Step 4: Simplify right side
    9,198.67x = 82,700,308.75
  5. Step 5: Solve for x
    x = 82,700,308.75/9,198.67
  6. Step 6: Final answer
    x = 8,990.46

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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.