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Finding the Fourth Proportional to 6,016.40, 9,024.60 and 3,942.80

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Solution

The fourth proportional to 6,016.40, 9,024.60 and 3,942.80 is: 5,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.40 : 9,024.60 = 3,942.80 : x
  2. Step 2: Convert to fraction form
    6,016.40/9,024.60 = 3,942.80/x
  3. Step 3: Cross multiply
    6,016.40x = 9,024.60 × 3,942.80
  4. Step 4: Simplify right side
    6,016.40x = 35,582,192.88
  5. Step 5: Solve for x
    x = 35,582,192.88/6,016.40
  6. Step 6: Final answer
    x = 5,914.20

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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.