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Finding the Fourth Proportional to 6,766.46, 9,337.68 and 3,782.30

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Solution

The fourth proportional to 6,766.46, 9,337.68 and 3,782.30 is: 5,219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.46 : 9,337.68 = 3,782.30 : x
  2. Step 2: Convert to fraction form
    6,766.46/9,337.68 = 3,782.30/x
  3. Step 3: Cross multiply
    6,766.46x = 9,337.68 × 3,782.30
  4. Step 4: Simplify right side
    6,766.46x = 35,317,907.06
  5. Step 5: Solve for x
    x = 35,317,907.06/6,766.46
  6. Step 6: Final answer
    x = 5,219.55

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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.