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Finding the Fourth Proportional to 9,327.72, 13,992.96 and 5,814.86

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Solution

The fourth proportional to 9,327.72, 13,992.96 and 5,814.86 is: 8,723.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327.72 : 13,992.96 = 5,814.86 : x
  2. Step 2: Convert to fraction form
    9,327.72/13,992.96 = 5,814.86/x
  3. Step 3: Cross multiply
    9,327.72x = 13,992.96 × 5,814.86
  4. Step 4: Simplify right side
    9,327.72x = 81,367,103.39
  5. Step 5: Solve for x
    x = 81,367,103.39/9,327.72
  6. Step 6: Final answer
    x = 8,723.15

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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.