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Finding the Fourth Proportional to 6,561.09, 9,847.33 and 3,443.31

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Solution

The fourth proportional to 6,561.09, 9,847.33 and 3,443.31 is: 5,167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.09 : 9,847.33 = 3,443.31 : x
  2. Step 2: Convert to fraction form
    6,561.09/9,847.33 = 3,443.31/x
  3. Step 3: Cross multiply
    6,561.09x = 9,847.33 × 3,443.31
  4. Step 4: Simplify right side
    6,561.09x = 33,907,401.25
  5. Step 5: Solve for x
    x = 33,907,401.25/6,561.09
  6. Step 6: Final answer
    x = 5,167.95

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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.