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Finding the Fourth Proportional to 9,142.44, 12,616.50 and 5,163.48

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Solution

The fourth proportional to 9,142.44, 12,616.50 and 5,163.48 is: 7,125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.44 : 12,616.50 = 5,163.48 : x
  2. Step 2: Convert to fraction form
    9,142.44/12,616.50 = 5,163.48/x
  3. Step 3: Cross multiply
    9,142.44x = 12,616.50 × 5,163.48
  4. Step 4: Simplify right side
    9,142.44x = 65,145,045.42
  5. Step 5: Solve for x
    x = 65,145,045.42/9,142.44
  6. Step 6: Final answer
    x = 7,125.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.