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Finding the Fourth Proportional to 9,936.50, 13,712.37 and 5,745.02

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Solution

The fourth proportional to 9,936.50, 13,712.37 and 5,745.02 is: 7,928.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936.50 : 13,712.37 = 5,745.02 : x
  2. Step 2: Convert to fraction form
    9,936.50/13,712.37 = 5,745.02/x
  3. Step 3: Cross multiply
    9,936.50x = 13,712.37 × 5,745.02
  4. Step 4: Simplify right side
    9,936.50x = 78,777,839.90
  5. Step 5: Solve for x
    x = 78,777,839.90/9,936.50
  6. Step 6: Final answer
    x = 7,928.13

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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.