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Finding the Fourth Proportional to 6,214.64, 9,309.18 and 3,286.76

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Solution

The fourth proportional to 6,214.64, 9,309.18 and 3,286.76 is: 4,923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.64 : 9,309.18 = 3,286.76 : x
  2. Step 2: Convert to fraction form
    6,214.64/9,309.18 = 3,286.76/x
  3. Step 3: Cross multiply
    6,214.64x = 9,309.18 × 3,286.76
  4. Step 4: Simplify right side
    6,214.64x = 30,597,040.46
  5. Step 5: Solve for x
    x = 30,597,040.46/6,214.64
  6. Step 6: Final answer
    x = 4,923.38

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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.