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Finding the Fourth Proportional to 6,096.91, 9,149.24 and 3,325.34

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Solution

The fourth proportional to 6,096.91, 9,149.24 and 3,325.34 is: 4,990.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.91 : 9,149.24 = 3,325.34 : x
  2. Step 2: Convert to fraction form
    6,096.91/9,149.24 = 3,325.34/x
  3. Step 3: Cross multiply
    6,096.91x = 9,149.24 × 3,325.34
  4. Step 4: Simplify right side
    6,096.91x = 30,424,333.74
  5. Step 5: Solve for x
    x = 30,424,333.74/6,096.91
  6. Step 6: Final answer
    x = 4,990.12

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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.