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Finding the Fourth Proportional to 6,286.84, 9,433.38 and 4,449.76

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Solution

The fourth proportional to 6,286.84, 9,433.38 and 4,449.76 is: 6,676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.84 : 9,433.38 = 4,449.76 : x
  2. Step 2: Convert to fraction form
    6,286.84/9,433.38 = 4,449.76/x
  3. Step 3: Cross multiply
    6,286.84x = 9,433.38 × 4,449.76
  4. Step 4: Simplify right side
    6,286.84x = 41,976,276.99
  5. Step 5: Solve for x
    x = 41,976,276.99/6,286.84
  6. Step 6: Final answer
    x = 6,676.85

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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.