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Finding the Fourth Proportional to 6,191.22, 9,287.25 and 1,808.31

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Solution

The fourth proportional to 6,191.22, 9,287.25 and 1,808.31 is: 2,712.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.22 : 9,287.25 = 1,808.31 : x
  2. Step 2: Convert to fraction form
    6,191.22/9,287.25 = 1,808.31/x
  3. Step 3: Cross multiply
    6,191.22x = 9,287.25 × 1,808.31
  4. Step 4: Simplify right side
    6,191.22x = 16,794,227.05
  5. Step 5: Solve for x
    x = 16,794,227.05/6,191.22
  6. Step 6: Final answer
    x = 2,712.59

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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.