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Finding the Fourth Proportional to 9,238.86, 13,862.85 and 5,727.92

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Solution

The fourth proportional to 9,238.86, 13,862.85 and 5,727.92 is: 8,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.86 : 13,862.85 = 5,727.92 : x
  2. Step 2: Convert to fraction form
    9,238.86/13,862.85 = 5,727.92/x
  3. Step 3: Cross multiply
    9,238.86x = 13,862.85 × 5,727.92
  4. Step 4: Simplify right side
    9,238.86x = 79,405,204.98
  5. Step 5: Solve for x
    x = 79,405,204.98/9,238.86
  6. Step 6: Final answer
    x = 8,594.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.