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Finding the Fourth Proportional to 6,766.76, 9,336.27 and 3,782.26

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Solution

The fourth proportional to 6,766.76, 9,336.27 and 3,782.26 is: 5,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.76 : 9,336.27 = 3,782.26 : x
  2. Step 2: Convert to fraction form
    6,766.76/9,336.27 = 3,782.26/x
  3. Step 3: Cross multiply
    6,766.76x = 9,336.27 × 3,782.26
  4. Step 4: Simplify right side
    6,766.76x = 35,312,200.57
  5. Step 5: Solve for x
    x = 35,312,200.57/6,766.76
  6. Step 6: Final answer
    x = 5,218.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.