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Finding the Fourth Proportional to 6,099.96, 9,148.02 and 1,995

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Solution

The fourth proportional to 6,099.96, 9,148.02 and 1,995 is: 2,991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.96 : 9,148.02 = 1,995 : x
  2. Step 2: Convert to fraction form
    6,099.96/9,148.02 = 1,995/x
  3. Step 3: Cross multiply
    6,099.96x = 9,148.02 × 1,995
  4. Step 4: Simplify right side
    6,099.96x = 18,250,299.90
  5. Step 5: Solve for x
    x = 18,250,299.90/6,099.96
  6. Step 6: Final answer
    x = 2,991.87

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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.