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Finding the Fourth Proportional to 6,172.86, 9,247.53 and 3,668.73

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Solution

The fourth proportional to 6,172.86, 9,247.53 and 3,668.73 is: 5,496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.86 : 9,247.53 = 3,668.73 : x
  2. Step 2: Convert to fraction form
    6,172.86/9,247.53 = 3,668.73/x
  3. Step 3: Cross multiply
    6,172.86x = 9,247.53 × 3,668.73
  4. Step 4: Simplify right side
    6,172.86x = 33,926,690.74
  5. Step 5: Solve for x
    x = 33,926,690.74/6,172.86
  6. Step 6: Final answer
    x = 5,496.11

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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.