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Finding the Fourth Proportional to 9,752.22, 14,616.18 and 4,481.62

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Solution

The fourth proportional to 9,752.22, 14,616.18 and 4,481.62 is: 6,716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.22 : 14,616.18 = 4,481.62 : x
  2. Step 2: Convert to fraction form
    9,752.22/14,616.18 = 4,481.62/x
  3. Step 3: Cross multiply
    9,752.22x = 14,616.18 × 4,481.62
  4. Step 4: Simplify right side
    9,752.22x = 65,504,218.92
  5. Step 5: Solve for x
    x = 65,504,218.92/9,752.22
  6. Step 6: Final answer
    x = 6,716.85

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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.