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Finding the Fourth Proportional to 6,163.04, 9,249.24 and 4,219.04

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Solution

The fourth proportional to 6,163.04, 9,249.24 and 4,219.04 is: 6,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.04 : 9,249.24 = 4,219.04 : x
  2. Step 2: Convert to fraction form
    6,163.04/9,249.24 = 4,219.04/x
  3. Step 3: Cross multiply
    6,163.04x = 9,249.24 × 4,219.04
  4. Step 4: Simplify right side
    6,163.04x = 39,022,913.53
  5. Step 5: Solve for x
    x = 39,022,913.53/6,163.04
  6. Step 6: Final answer
    x = 6,331.76

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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.