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Finding the Fourth Proportional to 9,163.19, 12,645.25 and 5,184.22

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Solution

The fourth proportional to 9,163.19, 12,645.25 and 5,184.22 is: 7,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.19 : 12,645.25 = 5,184.22 : x
  2. Step 2: Convert to fraction form
    9,163.19/12,645.25 = 5,184.22/x
  3. Step 3: Cross multiply
    9,163.19x = 12,645.25 × 5,184.22
  4. Step 4: Simplify right side
    9,163.19x = 65,555,713.38
  5. Step 5: Solve for x
    x = 65,555,713.38/9,163.19
  6. Step 6: Final answer
    x = 7,154.25

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Why These Related Problems?

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