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Finding the Fourth Proportional to 9,241.81, 13,863.47 and 3,692.12

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Solution

The fourth proportional to 9,241.81, 13,863.47 and 3,692.12 is: 5,538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.81 : 13,863.47 = 3,692.12 : x
  2. Step 2: Convert to fraction form
    9,241.81/13,863.47 = 3,692.12/x
  3. Step 3: Cross multiply
    9,241.81x = 13,863.47 × 3,692.12
  4. Step 4: Simplify right side
    9,241.81x = 51,185,560.20
  5. Step 5: Solve for x
    x = 51,185,560.20/9,241.81
  6. Step 6: Final answer
    x = 5,538.48

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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.