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Finding the Fourth Proportional to 6,679.06, 9,216.74 and 3,694.71

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Solution

The fourth proportional to 6,679.06, 9,216.74 and 3,694.71 is: 5,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679.06 : 9,216.74 = 3,694.71 : x
  2. Step 2: Convert to fraction form
    6,679.06/9,216.74 = 3,694.71/x
  3. Step 3: Cross multiply
    6,679.06x = 9,216.74 × 3,694.71
  4. Step 4: Simplify right side
    6,679.06x = 34,053,204.46
  5. Step 5: Solve for x
    x = 34,053,204.46/6,679.06
  6. Step 6: Final answer
    x = 5,098.50

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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.