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Finding the Fourth Proportional to 9,195.98, 12,687.17 and 6,171.84

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Solution

The fourth proportional to 9,195.98, 12,687.17 and 6,171.84 is: 8,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.98 : 12,687.17 = 6,171.84 : x
  2. Step 2: Convert to fraction form
    9,195.98/12,687.17 = 6,171.84/x
  3. Step 3: Cross multiply
    9,195.98x = 12,687.17 × 6,171.84
  4. Step 4: Simplify right side
    9,195.98x = 78,303,152.43
  5. Step 5: Solve for x
    x = 78,303,152.43/9,195.98
  6. Step 6: Final answer
    x = 8,514.94

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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.