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Finding the Fourth Proportional to 6,101.92, 9,142.43 and 3,330.54

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Solution

The fourth proportional to 6,101.92, 9,142.43 and 3,330.54 is: 4,990.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.92 : 9,142.43 = 3,330.54 : x
  2. Step 2: Convert to fraction form
    6,101.92/9,142.43 = 3,330.54/x
  3. Step 3: Cross multiply
    6,101.92x = 9,142.43 × 3,330.54
  4. Step 4: Simplify right side
    6,101.92x = 30,449,241.30
  5. Step 5: Solve for x
    x = 30,449,241.30/6,101.92
  6. Step 6: Final answer
    x = 4,990.11

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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.