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Finding the Fourth Proportional to 9,850.82, 14,777.24 and 3,186.81

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Solution

The fourth proportional to 9,850.82, 14,777.24 and 3,186.81 is: 4,780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.82 : 14,777.24 = 3,186.81 : x
  2. Step 2: Convert to fraction form
    9,850.82/14,777.24 = 3,186.81/x
  3. Step 3: Cross multiply
    9,850.82x = 14,777.24 × 3,186.81
  4. Step 4: Simplify right side
    9,850.82x = 47,092,240.27
  5. Step 5: Solve for x
    x = 47,092,240.27/9,850.82
  6. Step 6: Final answer
    x = 4,780.54

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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.