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Finding the Fourth Proportional to 9,162.20, 12,643.82 and 5,183.22

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Solution

The fourth proportional to 9,162.20, 12,643.82 and 5,183.22 is: 7,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.20 : 12,643.82 = 5,183.22 : x
  2. Step 2: Convert to fraction form
    9,162.20/12,643.82 = 5,183.22/x
  3. Step 3: Cross multiply
    9,162.20x = 12,643.82 × 5,183.22
  4. Step 4: Simplify right side
    9,162.20x = 65,535,713.66
  5. Step 5: Solve for x
    x = 65,535,713.66/9,162.20
  6. Step 6: Final answer
    x = 7,152.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.