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Finding the Fourth Proportional to 7,629.64, 11,454.72 and 3,934.22

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Solution

The fourth proportional to 7,629.64, 11,454.72 and 3,934.22 is: 5,906.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629.64 : 11,454.72 = 3,934.22 : x
  2. Step 2: Convert to fraction form
    7,629.64/11,454.72 = 3,934.22/x
  3. Step 3: Cross multiply
    7,629.64x = 11,454.72 × 3,934.22
  4. Step 4: Simplify right side
    7,629.64x = 45,065,388.52
  5. Step 5: Solve for x
    x = 45,065,388.52/7,629.64
  6. Step 6: Final answer
    x = 5,906.62

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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.