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Finding the Fourth Proportional to 6,207.46, 9,311.10 and 2,509.60

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Solution

The fourth proportional to 6,207.46, 9,311.10 and 2,509.60 is: 3,764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.46 : 9,311.10 = 2,509.60 : x
  2. Step 2: Convert to fraction form
    6,207.46/9,311.10 = 2,509.60/x
  3. Step 3: Cross multiply
    6,207.46x = 9,311.10 × 2,509.60
  4. Step 4: Simplify right side
    6,207.46x = 23,367,136.56
  5. Step 5: Solve for x
    x = 23,367,136.56/6,207.46
  6. Step 6: Final answer
    x = 3,764.36

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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.