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Finding the Fourth Proportional to 9,472.14, 13,067.36 and 6,638.48

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Solution

The fourth proportional to 9,472.14, 13,067.36 and 6,638.48 is: 9,158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.14 : 13,067.36 = 6,638.48 : x
  2. Step 2: Convert to fraction form
    9,472.14/13,067.36 = 6,638.48/x
  3. Step 3: Cross multiply
    9,472.14x = 13,067.36 × 6,638.48
  4. Step 4: Simplify right side
    9,472.14x = 86,747,408.01
  5. Step 5: Solve for x
    x = 86,747,408.01/9,472.14
  6. Step 6: Final answer
    x = 9,158.16

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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.