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Finding the Fourth Proportional to 9,144.05, 12,619.22 and 5,367.38

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Solution

The fourth proportional to 9,144.05, 12,619.22 and 5,367.38 is: 7,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.05 : 12,619.22 = 5,367.38 : x
  2. Step 2: Convert to fraction form
    9,144.05/12,619.22 = 5,367.38/x
  3. Step 3: Cross multiply
    9,144.05x = 12,619.22 × 5,367.38
  4. Step 4: Simplify right side
    9,144.05x = 67,732,059.11
  5. Step 5: Solve for x
    x = 67,732,059.11/9,144.05
  6. Step 6: Final answer
    x = 7,407.23

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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.