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Finding the Fourth Proportional to 6,665.59, 9,197.31 and 3,832.30

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Solution

The fourth proportional to 6,665.59, 9,197.31 and 3,832.30 is: 5,287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.59 : 9,197.31 = 3,832.30 : x
  2. Step 2: Convert to fraction form
    6,665.59/9,197.31 = 3,832.30/x
  3. Step 3: Cross multiply
    6,665.59x = 9,197.31 × 3,832.30
  4. Step 4: Simplify right side
    6,665.59x = 35,246,851.11
  5. Step 5: Solve for x
    x = 35,246,851.11/6,665.59
  6. Step 6: Final answer
    x = 5,287.88

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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.