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Finding the Fourth Proportional to 9,732.28, 13,426.24 and 6,369.24

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Solution

The fourth proportional to 9,732.28, 13,426.24 and 6,369.24 is: 8,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.28 : 13,426.24 = 6,369.24 : x
  2. Step 2: Convert to fraction form
    9,732.28/13,426.24 = 6,369.24/x
  3. Step 3: Cross multiply
    9,732.28x = 13,426.24 × 6,369.24
  4. Step 4: Simplify right side
    9,732.28x = 85,514,944.86
  5. Step 5: Solve for x
    x = 85,514,944.86/9,732.28
  6. Step 6: Final answer
    x = 8,786.73

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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.