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Finding the Fourth Proportional to 8,651.22, 12,964.68 and 4,947.90

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Solution

The fourth proportional to 8,651.22, 12,964.68 and 4,947.90 is: 7,414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651.22 : 12,964.68 = 4,947.90 : x
  2. Step 2: Convert to fraction form
    8,651.22/12,964.68 = 4,947.90/x
  3. Step 3: Cross multiply
    8,651.22x = 12,964.68 × 4,947.90
  4. Step 4: Simplify right side
    8,651.22x = 64,147,940.17
  5. Step 5: Solve for x
    x = 64,147,940.17/8,651.22
  6. Step 6: Final answer
    x = 7,414.90

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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.