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Finding the Fourth Proportional to 9,481.66, 14,221.32 and 4,216.78

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Solution

The fourth proportional to 9,481.66, 14,221.32 and 4,216.78 is: 6,324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.66 : 14,221.32 = 4,216.78 : x
  2. Step 2: Convert to fraction form
    9,481.66/14,221.32 = 4,216.78/x
  3. Step 3: Cross multiply
    9,481.66x = 14,221.32 × 4,216.78
  4. Step 4: Simplify right side
    9,481.66x = 59,968,177.75
  5. Step 5: Solve for x
    x = 59,968,177.75/9,481.66
  6. Step 6: Final answer
    x = 6,324.65

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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.