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Finding the Fourth Proportional to 6,096.93, 9,149.22 and 2,399.06

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Solution

The fourth proportional to 6,096.93, 9,149.22 and 2,399.06 is: 3,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.93 : 9,149.22 = 2,399.06 : x
  2. Step 2: Convert to fraction form
    6,096.93/9,149.22 = 2,399.06/x
  3. Step 3: Cross multiply
    6,096.93x = 9,149.22 × 2,399.06
  4. Step 4: Simplify right side
    6,096.93x = 21,949,527.73
  5. Step 5: Solve for x
    x = 21,949,527.73/6,096.93
  6. Step 6: Final answer
    x = 3,600.10

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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.