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Finding the Fourth Proportional to 6,765.68, 9,336.60 and 3,781.58

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Solution

The fourth proportional to 6,765.68, 9,336.60 and 3,781.58 is: 5,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.68 : 9,336.60 = 3,781.58 : x
  2. Step 2: Convert to fraction form
    6,765.68/9,336.60 = 3,781.58/x
  3. Step 3: Cross multiply
    6,765.68x = 9,336.60 × 3,781.58
  4. Step 4: Simplify right side
    6,765.68x = 35,307,053.15
  5. Step 5: Solve for x
    x = 35,307,053.15/6,765.68
  6. Step 6: Final answer
    x = 5,218.55

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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.