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Finding the Fourth Proportional to 6,327.61, 9,481.34 and 5,780.41

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Solution

The fourth proportional to 6,327.61, 9,481.34 and 5,780.41 is: 8,661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.61 : 9,481.34 = 5,780.41 : x
  2. Step 2: Convert to fraction form
    6,327.61/9,481.34 = 5,780.41/x
  3. Step 3: Cross multiply
    6,327.61x = 9,481.34 × 5,780.41
  4. Step 4: Simplify right side
    6,327.61x = 54,806,003.65
  5. Step 5: Solve for x
    x = 54,806,003.65/6,327.61
  6. Step 6: Final answer
    x = 8,661.41

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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.