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Finding the Fourth Proportional to 6,765.26, 9,334.20 and 3,780.76

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Solution

The fourth proportional to 6,765.26, 9,334.20 and 3,780.76 is: 5,216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.26 : 9,334.20 = 3,780.76 : x
  2. Step 2: Convert to fraction form
    6,765.26/9,334.20 = 3,780.76/x
  3. Step 3: Cross multiply
    6,765.26x = 9,334.20 × 3,780.76
  4. Step 4: Simplify right side
    6,765.26x = 35,290,369.99
  5. Step 5: Solve for x
    x = 35,290,369.99/6,765.26
  6. Step 6: Final answer
    x = 5,216.41

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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.