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Finding the Fourth Proportional to 9,191.53, 13,791.84 and 3,644.75

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Solution

The fourth proportional to 9,191.53, 13,791.84 and 3,644.75 is: 5,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.53 : 13,791.84 = 3,644.75 : x
  2. Step 2: Convert to fraction form
    9,191.53/13,791.84 = 3,644.75/x
  3. Step 3: Cross multiply
    9,191.53x = 13,791.84 × 3,644.75
  4. Step 4: Simplify right side
    9,191.53x = 50,267,752.07
  5. Step 5: Solve for x
    x = 50,267,752.07/9,191.53
  6. Step 6: Final answer
    x = 5,468.92

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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.