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Finding the Fourth Proportional to 10,209.64, 15,311.20 and 3,969.24

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Solution

The fourth proportional to 10,209.64, 15,311.20 and 3,969.24 is: 5,952.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.64 : 15,311.20 = 3,969.24 : x
  2. Step 2: Convert to fraction form
    10,209.64/15,311.20 = 3,969.24/x
  3. Step 3: Cross multiply
    10,209.64x = 15,311.20 × 3,969.24
  4. Step 4: Simplify right side
    10,209.64x = 60,773,827.49
  5. Step 5: Solve for x
    x = 60,773,827.49/10,209.64
  6. Step 6: Final answer
    x = 5,952.59

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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.