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Finding the Fourth Proportional to 6,678.47, 9,216.24 and 3,694.20

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Solution

The fourth proportional to 6,678.47, 9,216.24 and 3,694.20 is: 5,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.47 : 9,216.24 = 3,694.20 : x
  2. Step 2: Convert to fraction form
    6,678.47/9,216.24 = 3,694.20/x
  3. Step 3: Cross multiply
    6,678.47x = 9,216.24 × 3,694.20
  4. Step 4: Simplify right side
    6,678.47x = 34,046,633.81
  5. Step 5: Solve for x
    x = 34,046,633.81/6,678.47
  6. Step 6: Final answer
    x = 5,097.97

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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.