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Finding the Fourth Proportional to 6,076.49, 9,109.69 and 4,231.20

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Solution

The fourth proportional to 6,076.49, 9,109.69 and 4,231.20 is: 6,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.49 : 9,109.69 = 4,231.20 : x
  2. Step 2: Convert to fraction form
    6,076.49/9,109.69 = 4,231.20/x
  3. Step 3: Cross multiply
    6,076.49x = 9,109.69 × 4,231.20
  4. Step 4: Simplify right side
    6,076.49x = 38,544,920.33
  5. Step 5: Solve for x
    x = 38,544,920.33/6,076.49
  6. Step 6: Final answer
    x = 6,343.29

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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.