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Finding the Fourth Proportional to 6,178.69, 9,269.57 and 1,796.19

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Solution

The fourth proportional to 6,178.69, 9,269.57 and 1,796.19 is: 2,694.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.69 : 9,269.57 = 1,796.19 : x
  2. Step 2: Convert to fraction form
    6,178.69/9,269.57 = 1,796.19/x
  3. Step 3: Cross multiply
    6,178.69x = 9,269.57 × 1,796.19
  4. Step 4: Simplify right side
    6,178.69x = 16,649,908.94
  5. Step 5: Solve for x
    x = 16,649,908.94/6,178.69
  6. Step 6: Final answer
    x = 2,694.73

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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.