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Finding the Fourth Proportional to 6,099.93, 9,164.49 and 3,912.93

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Solution

The fourth proportional to 6,099.93, 9,164.49 and 3,912.93 is: 5,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.93 : 9,164.49 = 3,912.93 : x
  2. Step 2: Convert to fraction form
    6,099.93/9,164.49 = 3,912.93/x
  3. Step 3: Cross multiply
    6,099.93x = 9,164.49 × 3,912.93
  4. Step 4: Simplify right side
    6,099.93x = 35,860,007.86
  5. Step 5: Solve for x
    x = 35,860,007.86/6,099.93
  6. Step 6: Final answer
    x = 5,878.76

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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.