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Finding the Fourth Proportional to 9,936.84, 13,712.04 and 5,745.36

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Solution

The fourth proportional to 9,936.84, 13,712.04 and 5,745.36 is: 7,928.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936.84 : 13,712.04 = 5,745.36 : x
  2. Step 2: Convert to fraction form
    9,936.84/13,712.04 = 5,745.36/x
  3. Step 3: Cross multiply
    9,936.84x = 13,712.04 × 5,745.36
  4. Step 4: Simplify right side
    9,936.84x = 78,780,606.13
  5. Step 5: Solve for x
    x = 78,780,606.13/9,936.84
  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.