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Finding the Fourth Proportional to 9,026.68, 13,542.20 and 3,183.88

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Solution

The fourth proportional to 9,026.68, 13,542.20 and 3,183.88 is: 4,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026.68 : 13,542.20 = 3,183.88 : x
  2. Step 2: Convert to fraction form
    9,026.68/13,542.20 = 3,183.88/x
  3. Step 3: Cross multiply
    9,026.68x = 13,542.20 × 3,183.88
  4. Step 4: Simplify right side
    9,026.68x = 43,116,739.74
  5. Step 5: Solve for x
    x = 43,116,739.74/9,026.68
  6. Step 6: Final answer
    x = 4,776.59

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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.