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Finding the Fourth Proportional to 9,469.86, 13,067.37 and 5,490.42

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Solution

The fourth proportional to 9,469.86, 13,067.37 and 5,490.42 is: 7,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.86 : 13,067.37 = 5,490.42 : x
  2. Step 2: Convert to fraction form
    9,469.86/13,067.37 = 5,490.42/x
  3. Step 3: Cross multiply
    9,469.86x = 13,067.37 × 5,490.42
  4. Step 4: Simplify right side
    9,469.86x = 71,745,349.60
  5. Step 5: Solve for x
    x = 71,745,349.60/9,469.86
  6. Step 6: Final answer
    x = 7,576.18

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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.