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Finding the Fourth Proportional to 6,103.24, 9,156.24 and 2,207.63

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Solution

The fourth proportional to 6,103.24, 9,156.24 and 2,207.63 is: 3,311.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.24 : 9,156.24 = 2,207.63 : x
  2. Step 2: Convert to fraction form
    6,103.24/9,156.24 = 2,207.63/x
  3. Step 3: Cross multiply
    6,103.24x = 9,156.24 × 2,207.63
  4. Step 4: Simplify right side
    6,103.24x = 20,213,613.00
  5. Step 5: Solve for x
    x = 20,213,613.00/6,103.24
  6. Step 6: Final answer
    x = 3,311.95

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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.