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Finding the Fourth Proportional to 9,202.64, 13,804 and 3,936.88

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Solution

The fourth proportional to 9,202.64, 13,804 and 3,936.88 is: 5,905.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.64 : 13,804 = 3,936.88 : x
  2. Step 2: Convert to fraction form
    9,202.64/13,804 = 3,936.88/x
  3. Step 3: Cross multiply
    9,202.64x = 13,804 × 3,936.88
  4. Step 4: Simplify right side
    9,202.64x = 54,344,691.52
  5. Step 5: Solve for x
    x = 54,344,691.52/9,202.64
  6. Step 6: Final answer
    x = 5,905.34

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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.