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Finding the Fourth Proportional to 9,571.88, 13,209.20 and 5,380.16

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Solution

The fourth proportional to 9,571.88, 13,209.20 and 5,380.16 is: 7,424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.88 : 13,209.20 = 5,380.16 : x
  2. Step 2: Convert to fraction form
    9,571.88/13,209.20 = 5,380.16/x
  3. Step 3: Cross multiply
    9,571.88x = 13,209.20 × 5,380.16
  4. Step 4: Simplify right side
    9,571.88x = 71,067,609.47
  5. Step 5: Solve for x
    x = 71,067,609.47/9,571.88
  6. Step 6: Final answer
    x = 7,424.62

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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.