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Finding the Fourth Proportional to 6,794.46, 9,378.68 and 4,107.18

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Solution

The fourth proportional to 6,794.46, 9,378.68 and 4,107.18 is: 5,669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.46 : 9,378.68 = 4,107.18 : x
  2. Step 2: Convert to fraction form
    6,794.46/9,378.68 = 4,107.18/x
  3. Step 3: Cross multiply
    6,794.46x = 9,378.68 × 4,107.18
  4. Step 4: Simplify right side
    6,794.46x = 38,519,926.92
  5. Step 5: Solve for x
    x = 38,519,926.92/6,794.46
  6. Step 6: Final answer
    x = 5,669.31

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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.