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Finding the Fourth Proportional to 6,109.80, 9,166.10 and 2,214.22

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Solution

The fourth proportional to 6,109.80, 9,166.10 and 2,214.22 is: 3,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.80 : 9,166.10 = 2,214.22 : x
  2. Step 2: Convert to fraction form
    6,109.80/9,166.10 = 2,214.22/x
  3. Step 3: Cross multiply
    6,109.80x = 9,166.10 × 2,214.22
  4. Step 4: Simplify right side
    6,109.80x = 20,295,761.94
  5. Step 5: Solve for x
    x = 20,295,761.94/6,109.80
  6. Step 6: Final answer
    x = 3,321.84

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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.