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Finding the Fourth Proportional to 6,163.68, 9,245.36 and 2,266.40

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Solution

The fourth proportional to 6,163.68, 9,245.36 and 2,266.40 is: 3,399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.68 : 9,245.36 = 2,266.40 : x
  2. Step 2: Convert to fraction form
    6,163.68/9,245.36 = 2,266.40/x
  3. Step 3: Cross multiply
    6,163.68x = 9,245.36 × 2,266.40
  4. Step 4: Simplify right side
    6,163.68x = 20,953,683.90
  5. Step 5: Solve for x
    x = 20,953,683.90/6,163.68
  6. Step 6: Final answer
    x = 3,399.54

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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.