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Finding the Fourth Proportional to 9,932.74, 13,723.77 and 8,273.86

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Solution

The fourth proportional to 9,932.74, 13,723.77 and 8,273.86 is: 11,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.74 : 13,723.77 = 8,273.86 : x
  2. Step 2: Convert to fraction form
    9,932.74/13,723.77 = 8,273.86/x
  3. Step 3: Cross multiply
    9,932.74x = 13,723.77 × 8,273.86
  4. Step 4: Simplify right side
    9,932.74x = 113,548,551.65
  5. Step 5: Solve for x
    x = 113,548,551.65/9,932.74
  6. Step 6: Final answer
    x = 11,431.75

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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.