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Finding the Fourth Proportional to 9,142.72, 12,616.86 and 5,163.82

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Solution

The fourth proportional to 9,142.72, 12,616.86 and 5,163.82 is: 7,126.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.72 : 12,616.86 = 5,163.82 : x
  2. Step 2: Convert to fraction form
    9,142.72/12,616.86 = 5,163.82/x
  3. Step 3: Cross multiply
    9,142.72x = 12,616.86 × 5,163.82
  4. Step 4: Simplify right side
    9,142.72x = 65,151,194.01
  5. Step 5: Solve for x
    x = 65,151,194.01/9,142.72
  6. Step 6: Final answer
    x = 7,126.02

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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.