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Finding the Fourth Proportional to 6,163.10, 9,242.28 and 4,849.44

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Solution

The fourth proportional to 6,163.10, 9,242.28 and 4,849.44 is: 7,272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.10 : 9,242.28 = 4,849.44 : x
  2. Step 2: Convert to fraction form
    6,163.10/9,242.28 = 4,849.44/x
  3. Step 3: Cross multiply
    6,163.10x = 9,242.28 × 4,849.44
  4. Step 4: Simplify right side
    6,163.10x = 44,819,847.66
  5. Step 5: Solve for x
    x = 44,819,847.66/6,163.10
  6. Step 6: Final answer
    x = 7,272.29

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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.