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Finding the Fourth Proportional to 6,796.17, 9,378.67 and 3,812.00

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Solution

The fourth proportional to 6,796.17, 9,378.67 and 3,812.00 is: 5,260.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.17 : 9,378.67 = 3,812.00 : x
  2. Step 2: Convert to fraction form
    6,796.17/9,378.67 = 3,812.00/x
  3. Step 3: Cross multiply
    6,796.17x = 9,378.67 × 3,812.00
  4. Step 4: Simplify right side
    6,796.17x = 35,751,513.49
  5. Step 5: Solve for x
    x = 35,751,513.49/6,796.17
  6. Step 6: Final answer
    x = 5,260.54

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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.