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Finding the Fourth Proportional to 6,520.84, 9,774.78 and 3,183.28

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Solution

The fourth proportional to 6,520.84, 9,774.78 and 3,183.28 is: 4,771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.84 : 9,774.78 = 3,183.28 : x
  2. Step 2: Convert to fraction form
    6,520.84/9,774.78 = 3,183.28/x
  3. Step 3: Cross multiply
    6,520.84x = 9,774.78 × 3,183.28
  4. Step 4: Simplify right side
    6,520.84x = 31,115,861.68
  5. Step 5: Solve for x
    x = 31,115,861.68/6,520.84
  6. Step 6: Final answer
    x = 4,771.76

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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.