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Finding the Fourth Proportional to 9,182.29, 13,767.99 and 3,629.20

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Solution

The fourth proportional to 9,182.29, 13,767.99 and 3,629.20 is: 5,441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.29 : 13,767.99 = 3,629.20 : x
  2. Step 2: Convert to fraction form
    9,182.29/13,767.99 = 3,629.20/x
  3. Step 3: Cross multiply
    9,182.29x = 13,767.99 × 3,629.20
  4. Step 4: Simplify right side
    9,182.29x = 49,966,789.31
  5. Step 5: Solve for x
    x = 49,966,789.31/9,182.29
  6. Step 6: Final answer
    x = 5,441.65

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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.