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Finding the Fourth Proportional to 6,765.61, 9,336.98 and 3,781.46

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Solution

The fourth proportional to 6,765.61, 9,336.98 and 3,781.46 is: 5,218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.61 : 9,336.98 = 3,781.46 : x
  2. Step 2: Convert to fraction form
    6,765.61/9,336.98 = 3,781.46/x
  3. Step 3: Cross multiply
    6,765.61x = 9,336.98 × 3,781.46
  4. Step 4: Simplify right side
    6,765.61x = 35,307,357.89
  5. Step 5: Solve for x
    x = 35,307,357.89/6,765.61
  6. Step 6: Final answer
    x = 5,218.65

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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.