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Finding the Fourth Proportional to 6,766.32, 9,337.36 and 3,782.43

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Solution

The fourth proportional to 6,766.32, 9,337.36 and 3,782.43 is: 5,219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.32 : 9,337.36 = 3,782.43 : x
  2. Step 2: Convert to fraction form
    6,766.32/9,337.36 = 3,782.43/x
  3. Step 3: Cross multiply
    6,766.32x = 9,337.36 × 3,782.43
  4. Step 4: Simplify right side
    6,766.32x = 35,317,963.57
  5. Step 5: Solve for x
    x = 35,317,963.57/6,766.32
  6. Step 6: Final answer
    x = 5,219.67

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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.