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Finding the Fourth Proportional to 6,099.85, 9,131.96 and 5,516.20

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Solution

The fourth proportional to 6,099.85, 9,131.96 and 5,516.20 is: 8,258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.85 : 9,131.96 = 5,516.20 : x
  2. Step 2: Convert to fraction form
    6,099.85/9,131.96 = 5,516.20/x
  3. Step 3: Cross multiply
    6,099.85x = 9,131.96 × 5,516.20
  4. Step 4: Simplify right side
    6,099.85x = 50,373,644.51
  5. Step 5: Solve for x
    x = 50,373,644.51/6,099.85
  6. Step 6: Final answer
    x = 8,258.18

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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.