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Finding the Fourth Proportional to 6,678.26, 9,216.68 and 3,694.32

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Solution

The fourth proportional to 6,678.26, 9,216.68 and 3,694.32 is: 5,098.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.26 : 9,216.68 = 3,694.32 : x
  2. Step 2: Convert to fraction form
    6,678.26/9,216.68 = 3,694.32/x
  3. Step 3: Cross multiply
    6,678.26x = 9,216.68 × 3,694.32
  4. Step 4: Simplify right side
    6,678.26x = 34,049,346.79
  5. Step 5: Solve for x
    x = 34,049,346.79/6,678.26
  6. Step 6: Final answer
    x = 5,098.54

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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.