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Finding the Fourth Proportional to 6,630.36, 9,947.04 and 2,013

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Solution

The fourth proportional to 6,630.36, 9,947.04 and 2,013 is: 3,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630.36 : 9,947.04 = 2,013 : x
  2. Step 2: Convert to fraction form
    6,630.36/9,947.04 = 2,013/x
  3. Step 3: Cross multiply
    6,630.36x = 9,947.04 × 2,013
  4. Step 4: Simplify right side
    6,630.36x = 20,023,391.52
  5. Step 5: Solve for x
    x = 20,023,391.52/6,630.36
  6. Step 6: Final answer
    x = 3,019.96

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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.