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Finding the Fourth Proportional to 9,198.70, 12,694.08 and 5,006.96

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Solution

The fourth proportional to 9,198.70, 12,694.08 and 5,006.96 is: 6,909.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.70 : 12,694.08 = 5,006.96 : x
  2. Step 2: Convert to fraction form
    9,198.70/12,694.08 = 5,006.96/x
  3. Step 3: Cross multiply
    9,198.70x = 12,694.08 × 5,006.96
  4. Step 4: Simplify right side
    9,198.70x = 63,558,750.80
  5. Step 5: Solve for x
    x = 63,558,750.80/9,198.70
  6. Step 6: Final answer
    x = 6,909.54

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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.