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Finding the Fourth Proportional to 6,664.08, 9,197 and 3,680.24

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Solution

The fourth proportional to 6,664.08, 9,197 and 3,680.24 is: 5,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.08 : 9,197 = 3,680.24 : x
  2. Step 2: Convert to fraction form
    6,664.08/9,197 = 3,680.24/x
  3. Step 3: Cross multiply
    6,664.08x = 9,197 × 3,680.24
  4. Step 4: Simplify right side
    6,664.08x = 33,847,167.28
  5. Step 5: Solve for x
    x = 33,847,167.28/6,664.08
  6. Step 6: Final answer
    x = 5,079.05

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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.