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Finding the Fourth Proportional to 9,832.54, 14,741.40 and 5,936.02

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Solution

The fourth proportional to 9,832.54, 14,741.40 and 5,936.02 is: 8,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.54 : 14,741.40 = 5,936.02 : x
  2. Step 2: Convert to fraction form
    9,832.54/14,741.40 = 5,936.02/x
  3. Step 3: Cross multiply
    9,832.54x = 14,741.40 × 5,936.02
  4. Step 4: Simplify right side
    9,832.54x = 87,505,245.23
  5. Step 5: Solve for x
    x = 87,505,245.23/9,832.54
  6. Step 6: Final answer
    x = 8,899.56

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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.