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Finding the Fourth Proportional to 6,206.08, 9,310.04 and 1,822.97

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Solution

The fourth proportional to 6,206.08, 9,310.04 and 1,822.97 is: 2,734.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.08 : 9,310.04 = 1,822.97 : x
  2. Step 2: Convert to fraction form
    6,206.08/9,310.04 = 1,822.97/x
  3. Step 3: Cross multiply
    6,206.08x = 9,310.04 × 1,822.97
  4. Step 4: Simplify right side
    6,206.08x = 16,971,923.62
  5. Step 5: Solve for x
    x = 16,971,923.62/6,206.08
  6. Step 6: Final answer
    x = 2,734.73

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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.