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Finding the Fourth Proportional to 6,883.38, 10,313.73 and 3,964.14

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Solution

The fourth proportional to 6,883.38, 10,313.73 and 3,964.14 is: 5,939.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.38 : 10,313.73 = 3,964.14 : x
  2. Step 2: Convert to fraction form
    6,883.38/10,313.73 = 3,964.14/x
  3. Step 3: Cross multiply
    6,883.38x = 10,313.73 × 3,964.14
  4. Step 4: Simplify right side
    6,883.38x = 40,885,069.64
  5. Step 5: Solve for x
    x = 40,885,069.64/6,883.38
  6. Step 6: Final answer
    x = 5,939.68

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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.