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Finding the Fourth Proportional to 9,052.85, 13,571.98 and 3,206.27

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Solution

The fourth proportional to 9,052.85, 13,571.98 and 3,206.27 is: 4,806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.85 : 13,571.98 = 3,206.27 : x
  2. Step 2: Convert to fraction form
    9,052.85/13,571.98 = 3,206.27/x
  3. Step 3: Cross multiply
    9,052.85x = 13,571.98 × 3,206.27
  4. Step 4: Simplify right side
    9,052.85x = 43,515,458.23
  5. Step 5: Solve for x
    x = 43,515,458.23/9,052.85
  6. Step 6: Final answer
    x = 4,806.82

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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.