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Finding the Fourth Proportional to 9,141.86, 12,616.26 and 5,163.14

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Solution

The fourth proportional to 9,141.86, 12,616.26 and 5,163.14 is: 7,125.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.86 : 12,616.26 = 5,163.14 : x
  2. Step 2: Convert to fraction form
    9,141.86/12,616.26 = 5,163.14/x
  3. Step 3: Cross multiply
    9,141.86x = 12,616.26 × 5,163.14
  4. Step 4: Simplify right side
    9,141.86x = 65,139,516.66
  5. Step 5: Solve for x
    x = 65,139,516.66/9,141.86
  6. Step 6: Final answer
    x = 7,125.41

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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.