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Finding the Fourth Proportional to 7,964.21, 10,965.50 and 7,226.09

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Solution

The fourth proportional to 7,964.21, 10,965.50 and 7,226.09 is: 9,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.21 : 10,965.50 = 7,226.09 : x
  2. Step 2: Convert to fraction form
    7,964.21/10,965.50 = 7,226.09/x
  3. Step 3: Cross multiply
    7,964.21x = 10,965.50 × 7,226.09
  4. Step 4: Simplify right side
    7,964.21x = 79,237,689.90
  5. Step 5: Solve for x
    x = 79,237,689.90/7,964.21
  6. Step 6: Final answer
    x = 9,949.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.