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Finding the Fourth Proportional to 6,247.97, 9,367.33 and 3,782.21

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Solution

The fourth proportional to 6,247.97, 9,367.33 and 3,782.21 is: 5,670.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,247.97 : 9,367.33 = 3,782.21 : x
  2. Step 2: Convert to fraction form
    6,247.97/9,367.33 = 3,782.21/x
  3. Step 3: Cross multiply
    6,247.97x = 9,367.33 × 3,782.21
  4. Step 4: Simplify right side
    6,247.97x = 35,429,199.74
  5. Step 5: Solve for x
    x = 35,429,199.74/6,247.97
  6. Step 6: Final answer
    x = 5,670.51

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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.