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Finding the Fourth Proportional to 6,166.72, 9,247.98 and 2,005.69

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Solution

The fourth proportional to 6,166.72, 9,247.98 and 2,005.69 is: 3,007.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.72 : 9,247.98 = 2,005.69 : x
  2. Step 2: Convert to fraction form
    6,166.72/9,247.98 = 2,005.69/x
  3. Step 3: Cross multiply
    6,166.72x = 9,247.98 × 2,005.69
  4. Step 4: Simplify right side
    6,166.72x = 18,548,611.73
  5. Step 5: Solve for x
    x = 18,548,611.73/6,166.72
  6. Step 6: Final answer
    x = 3,007.86

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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.