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Finding the Fourth Proportional to 6,109.20, 9,163.80 and 3,922.20

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Solution

The fourth proportional to 6,109.20, 9,163.80 and 3,922.20 is: 5,883.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.20 : 9,163.80 = 3,922.20 : x
  2. Step 2: Convert to fraction form
    6,109.20/9,163.80 = 3,922.20/x
  3. Step 3: Cross multiply
    6,109.20x = 9,163.80 × 3,922.20
  4. Step 4: Simplify right side
    6,109.20x = 35,942,256.36
  5. Step 5: Solve for x
    x = 35,942,256.36/6,109.20
  6. Step 6: Final answer
    x = 5,883.30

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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.