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Finding the Fourth Proportional to 8,309.85, 12,469.22 and 5,538.03

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Solution

The fourth proportional to 8,309.85, 12,469.22 and 5,538.03 is: 8,310.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.85 : 12,469.22 = 5,538.03 : x
  2. Step 2: Convert to fraction form
    8,309.85/12,469.22 = 5,538.03/x
  3. Step 3: Cross multiply
    8,309.85x = 12,469.22 × 5,538.03
  4. Step 4: Simplify right side
    8,309.85x = 69,054,914.44
  5. Step 5: Solve for x
    x = 69,054,914.44/8,309.85
  6. Step 6: Final answer
    x = 8,310.01

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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.