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Finding the Fourth Proportional to 9,571.20, 14,340.60 and 7,918.80

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Solution

The fourth proportional to 9,571.20, 14,340.60 and 7,918.80 is: 11,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.20 : 14,340.60 = 7,918.80 : x
  2. Step 2: Convert to fraction form
    9,571.20/14,340.60 = 7,918.80/x
  3. Step 3: Cross multiply
    9,571.20x = 14,340.60 × 7,918.80
  4. Step 4: Simplify right side
    9,571.20x = 113,560,343.28
  5. Step 5: Solve for x
    x = 113,560,343.28/9,571.20
  6. Step 6: Final answer
    x = 11,864.80

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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.