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Finding the Fourth Proportional to 9,665.38, 13,338.22 and 5,473.63

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Solution

The fourth proportional to 9,665.38, 13,338.22 and 5,473.63 is: 7,553.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.38 : 13,338.22 = 5,473.63 : x
  2. Step 2: Convert to fraction form
    9,665.38/13,338.22 = 5,473.63/x
  3. Step 3: Cross multiply
    9,665.38x = 13,338.22 × 5,473.63
  4. Step 4: Simplify right side
    9,665.38x = 73,008,481.14
  5. Step 5: Solve for x
    x = 73,008,481.14/9,665.38
  6. Step 6: Final answer
    x = 7,553.61

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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.