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Finding the Fourth Proportional to 6,189.36, 9,284.85 and 3,267.78

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Solution

The fourth proportional to 6,189.36, 9,284.85 and 3,267.78 is: 4,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.36 : 9,284.85 = 3,267.78 : x
  2. Step 2: Convert to fraction form
    6,189.36/9,284.85 = 3,267.78/x
  3. Step 3: Cross multiply
    6,189.36x = 9,284.85 × 3,267.78
  4. Step 4: Simplify right side
    6,189.36x = 30,340,847.13
  5. Step 5: Solve for x
    x = 30,340,847.13/6,189.36
  6. Step 6: Final answer
    x = 4,902.10

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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.