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Finding the Fourth Proportional to 8,629.50, 12,944.97 and 2,473.50

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Solution

The fourth proportional to 8,629.50, 12,944.97 and 2,473.50 is: 3,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,629.50 : 12,944.97 = 2,473.50 : x
  2. Step 2: Convert to fraction form
    8,629.50/12,944.97 = 2,473.50/x
  3. Step 3: Cross multiply
    8,629.50x = 12,944.97 × 2,473.50
  4. Step 4: Simplify right side
    8,629.50x = 32,019,383.30
  5. Step 5: Solve for x
    x = 32,019,383.30/8,629.50
  6. Step 6: Final answer
    x = 3,710.46

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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.