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Finding the Fourth Proportional to 6,369.16, 9,553.85 and 2,209.30

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Solution

The fourth proportional to 6,369.16, 9,553.85 and 2,209.30 is: 3,313.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.16 : 9,553.85 = 2,209.30 : x
  2. Step 2: Convert to fraction form
    6,369.16/9,553.85 = 2,209.30/x
  3. Step 3: Cross multiply
    6,369.16x = 9,553.85 × 2,209.30
  4. Step 4: Simplify right side
    6,369.16x = 21,107,320.81
  5. Step 5: Solve for x
    x = 21,107,320.81/6,369.16
  6. Step 6: Final answer
    x = 3,313.99

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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.