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Finding the Fourth Proportional to 9,163.23, 12,645.62 and 5,184.41

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Solution

The fourth proportional to 9,163.23, 12,645.62 and 5,184.41 is: 7,154.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.23 : 12,645.62 = 5,184.41 : x
  2. Step 2: Convert to fraction form
    9,163.23/12,645.62 = 5,184.41/x
  3. Step 3: Cross multiply
    9,163.23x = 12,645.62 × 5,184.41
  4. Step 4: Simplify right side
    9,163.23x = 65,560,009.08
  5. Step 5: Solve for x
    x = 65,560,009.08/9,163.23
  6. Step 6: Final answer
    x = 7,154.69

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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.