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Finding the Fourth Proportional to 6,764.68, 9,334.34 and 3,780.14

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Solution

The fourth proportional to 6,764.68, 9,334.34 and 3,780.14 is: 5,216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.68 : 9,334.34 = 3,780.14 : x
  2. Step 2: Convert to fraction form
    6,764.68/9,334.34 = 3,780.14/x
  3. Step 3: Cross multiply
    6,764.68x = 9,334.34 × 3,780.14
  4. Step 4: Simplify right side
    6,764.68x = 35,285,112.01
  5. Step 5: Solve for x
    x = 35,285,112.01/6,764.68
  6. Step 6: Final answer
    x = 5,216.08

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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.