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Finding the Fourth Proportional to 6,311.21, 8,709.49 and 3,794.77

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Solution

The fourth proportional to 6,311.21, 8,709.49 and 3,794.77 is: 5,236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.21 : 8,709.49 = 3,794.77 : x
  2. Step 2: Convert to fraction form
    6,311.21/8,709.49 = 3,794.77/x
  3. Step 3: Cross multiply
    6,311.21x = 8,709.49 × 3,794.77
  4. Step 4: Simplify right side
    6,311.21x = 33,050,478.01
  5. Step 5: Solve for x
    x = 33,050,478.01/6,311.21
  6. Step 6: Final answer
    x = 5,236.79

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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.