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Finding the Fourth Proportional to 6,764.46, 9,334.90 and 3,780.27

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Solution

The fourth proportional to 6,764.46, 9,334.90 and 3,780.27 is: 5,216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.46 : 9,334.90 = 3,780.27 : x
  2. Step 2: Convert to fraction form
    6,764.46/9,334.90 = 3,780.27/x
  3. Step 3: Cross multiply
    6,764.46x = 9,334.90 × 3,780.27
  4. Step 4: Simplify right side
    6,764.46x = 35,288,442.42
  5. Step 5: Solve for x
    x = 35,288,442.42/6,764.46
  6. Step 6: Final answer
    x = 5,216.74

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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.