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Finding the Fourth Proportional to 9,187.56, 13,778.46 and 3,992.04

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Solution

The fourth proportional to 9,187.56, 13,778.46 and 3,992.04 is: 5,986.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.56 : 13,778.46 = 3,992.04 : x
  2. Step 2: Convert to fraction form
    9,187.56/13,778.46 = 3,992.04/x
  3. Step 3: Cross multiply
    9,187.56x = 13,778.46 × 3,992.04
  4. Step 4: Simplify right side
    9,187.56x = 55,004,163.46
  5. Step 5: Solve for x
    x = 55,004,163.46/9,187.56
  6. Step 6: Final answer
    x = 5,986.81

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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.