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Finding the Fourth Proportional to 6,189.67, 9,268.10 and 3,259.09

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Solution

The fourth proportional to 6,189.67, 9,268.10 and 3,259.09 is: 4,879.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.67 : 9,268.10 = 3,259.09 : x
  2. Step 2: Convert to fraction form
    6,189.67/9,268.10 = 3,259.09/x
  3. Step 3: Cross multiply
    6,189.67x = 9,268.10 × 3,259.09
  4. Step 4: Simplify right side
    6,189.67x = 30,205,518.24
  5. Step 5: Solve for x
    x = 30,205,518.24/6,189.67
  6. Step 6: Final answer
    x = 4,879.99

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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.