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Finding the Fourth Proportional to 6,664.53, 9,196.02 and 3,832.08

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Solution

The fourth proportional to 6,664.53, 9,196.02 and 3,832.08 is: 5,287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.53 : 9,196.02 = 3,832.08 : x
  2. Step 2: Convert to fraction form
    6,664.53/9,196.02 = 3,832.08/x
  3. Step 3: Cross multiply
    6,664.53x = 9,196.02 × 3,832.08
  4. Step 4: Simplify right side
    6,664.53x = 35,239,884.32
  5. Step 5: Solve for x
    x = 35,239,884.32/6,664.53
  6. Step 6: Final answer
    x = 5,287.68

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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.