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Finding the Fourth Proportional to 6,166.38, 9,247.17 and 2,005.38

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Solution

The fourth proportional to 6,166.38, 9,247.17 and 2,005.38 is: 3,007.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.38 : 9,247.17 = 2,005.38 : x
  2. Step 2: Convert to fraction form
    6,166.38/9,247.17 = 2,005.38/x
  3. Step 3: Cross multiply
    6,166.38x = 9,247.17 × 2,005.38
  4. Step 4: Simplify right side
    6,166.38x = 18,544,089.77
  5. Step 5: Solve for x
    x = 18,544,089.77/6,166.38
  6. Step 6: Final answer
    x = 3,007.29

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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.