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Finding the Fourth Proportional to 6,764.42, 9,335.32 and 3,780.50

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Solution

The fourth proportional to 6,764.42, 9,335.32 and 3,780.50 is: 5,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.42 : 9,335.32 = 3,780.50 : x
  2. Step 2: Convert to fraction form
    6,764.42/9,335.32 = 3,780.50/x
  3. Step 3: Cross multiply
    6,764.42x = 9,335.32 × 3,780.50
  4. Step 4: Simplify right side
    6,764.42x = 35,292,121.13
  5. Step 5: Solve for x
    x = 35,292,121.13/6,764.42
  6. Step 6: Final answer
    x = 5,217.31

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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.