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Finding the Fourth Proportional to 9,665.39, 13,338.51 and 5,473.64

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Solution

The fourth proportional to 9,665.39, 13,338.51 and 5,473.64 is: 7,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.39 : 13,338.51 = 5,473.64 : x
  2. Step 2: Convert to fraction form
    9,665.39/13,338.51 = 5,473.64/x
  3. Step 3: Cross multiply
    9,665.39x = 13,338.51 × 5,473.64
  4. Step 4: Simplify right side
    9,665.39x = 73,010,201.88
  5. Step 5: Solve for x
    x = 73,010,201.88/9,665.39
  6. Step 6: Final answer
    x = 7,553.78

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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.