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Finding the Fourth Proportional to 9,194.80, 13,792.20 and 7,571.56

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Solution

The fourth proportional to 9,194.80, 13,792.20 and 7,571.56 is: 11,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.80 : 13,792.20 = 7,571.56 : x
  2. Step 2: Convert to fraction form
    9,194.80/13,792.20 = 7,571.56/x
  3. Step 3: Cross multiply
    9,194.80x = 13,792.20 × 7,571.56
  4. Step 4: Simplify right side
    9,194.80x = 104,428,469.83
  5. Step 5: Solve for x
    x = 104,428,469.83/9,194.80
  6. Step 6: Final answer
    x = 11,357.34

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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.