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Finding the Fourth Proportional to 8,629.36, 12,944.02 and 3,434

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Solution

The fourth proportional to 8,629.36, 12,944.02 and 3,434 is: 5,150.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,629.36 : 12,944.02 = 3,434 : x
  2. Step 2: Convert to fraction form
    8,629.36/12,944.02 = 3,434/x
  3. Step 3: Cross multiply
    8,629.36x = 12,944.02 × 3,434
  4. Step 4: Simplify right side
    8,629.36x = 44,449,764.68
  5. Step 5: Solve for x
    x = 44,449,764.68/8,629.36
  6. Step 6: Final answer
    x = 5,150.99

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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.