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Finding the Fourth Proportional to 9,892.32, 14,844.24 and 3,736.80

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Solution

The fourth proportional to 9,892.32, 14,844.24 and 3,736.80 is: 5,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.32 : 14,844.24 = 3,736.80 : x
  2. Step 2: Convert to fraction form
    9,892.32/14,844.24 = 3,736.80/x
  3. Step 3: Cross multiply
    9,892.32x = 14,844.24 × 3,736.80
  4. Step 4: Simplify right side
    9,892.32x = 55,469,956.03
  5. Step 5: Solve for x
    x = 55,469,956.03/9,892.32
  6. Step 6: Final answer
    x = 5,607.38

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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.