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Finding the Fourth Proportional to 6,099.93, 9,149.30 and 4,138.16

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Solution

The fourth proportional to 6,099.93, 9,149.30 and 4,138.16 is: 6,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.93 : 9,149.30 = 4,138.16 : x
  2. Step 2: Convert to fraction form
    6,099.93/9,149.30 = 4,138.16/x
  3. Step 3: Cross multiply
    6,099.93x = 9,149.30 × 4,138.16
  4. Step 4: Simplify right side
    6,099.93x = 37,861,267.29
  5. Step 5: Solve for x
    x = 37,861,267.29/6,099.93
  6. Step 6: Final answer
    x = 6,206.84

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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.