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Finding the Fourth Proportional to 6,796.18, 9,378.70 and 3,812.05

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Solution

The fourth proportional to 6,796.18, 9,378.70 and 3,812.05 is: 5,260.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.18 : 9,378.70 = 3,812.05 : x
  2. Step 2: Convert to fraction form
    6,796.18/9,378.70 = 3,812.05/x
  3. Step 3: Cross multiply
    6,796.18x = 9,378.70 × 3,812.05
  4. Step 4: Simplify right side
    6,796.18x = 35,752,073.34
  5. Step 5: Solve for x
    x = 35,752,073.34/6,796.18
  6. Step 6: Final answer
    x = 5,260.61

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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.