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Finding the Fourth Proportional to 6,109.20, 9,142.20 and 4,165.20

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Solution

The fourth proportional to 6,109.20, 9,142.20 and 4,165.20 is: 6,233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.20 : 9,142.20 = 4,165.20 : x
  2. Step 2: Convert to fraction form
    6,109.20/9,142.20 = 4,165.20/x
  3. Step 3: Cross multiply
    6,109.20x = 9,142.20 × 4,165.20
  4. Step 4: Simplify right side
    6,109.20x = 38,079,091.44
  5. Step 5: Solve for x
    x = 38,079,091.44/6,109.20
  6. Step 6: Final answer
    x = 6,233.07

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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.