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Finding the Fourth Proportional to 6,664.34, 9,196.80 and 3,680.30

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Solution

The fourth proportional to 6,664.34, 9,196.80 and 3,680.30 is: 5,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.34 : 9,196.80 = 3,680.30 : x
  2. Step 2: Convert to fraction form
    6,664.34/9,196.80 = 3,680.30/x
  3. Step 3: Cross multiply
    6,664.34x = 9,196.80 × 3,680.30
  4. Step 4: Simplify right side
    6,664.34x = 33,846,983.04
  5. Step 5: Solve for x
    x = 33,846,983.04/6,664.34
  6. Step 6: Final answer
    x = 5,078.82

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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.