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Finding the Fourth Proportional to 6,199.04, 9,296.40 and 3,892.16

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Solution

The fourth proportional to 6,199.04, 9,296.40 and 3,892.16 is: 5,836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.04 : 9,296.40 = 3,892.16 : x
  2. Step 2: Convert to fraction form
    6,199.04/9,296.40 = 3,892.16/x
  3. Step 3: Cross multiply
    6,199.04x = 9,296.40 × 3,892.16
  4. Step 4: Simplify right side
    6,199.04x = 36,183,076.22
  5. Step 5: Solve for x
    x = 36,183,076.22/6,199.04
  6. Step 6: Final answer
    x = 5,836.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.