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Finding the Fourth Proportional to 9,046.37, 13,571.70 and 3,778.44

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Solution

The fourth proportional to 9,046.37, 13,571.70 and 3,778.44 is: 5,668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.37 : 13,571.70 = 3,778.44 : x
  2. Step 2: Convert to fraction form
    9,046.37/13,571.70 = 3,778.44/x
  3. Step 3: Cross multiply
    9,046.37x = 13,571.70 × 3,778.44
  4. Step 4: Simplify right side
    9,046.37x = 51,279,854.15
  5. Step 5: Solve for x
    x = 51,279,854.15/9,046.37
  6. Step 6: Final answer
    x = 5,668.56

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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.