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Finding the Fourth Proportional to 9,469.46, 13,067.54 and 5,934.62

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Solution

The fourth proportional to 9,469.46, 13,067.54 and 5,934.62 is: 8,189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.46 : 13,067.54 = 5,934.62 : x
  2. Step 2: Convert to fraction form
    9,469.46/13,067.54 = 5,934.62/x
  3. Step 3: Cross multiply
    9,469.46x = 13,067.54 × 5,934.62
  4. Step 4: Simplify right side
    9,469.46x = 77,550,884.23
  5. Step 5: Solve for x
    x = 77,550,884.23/9,469.46
  6. Step 6: Final answer
    x = 8,189.58

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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.