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Finding the Fourth Proportional to 6,841.39, 9,441.09 and 3,697.57

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Solution

The fourth proportional to 6,841.39, 9,441.09 and 3,697.57 is: 5,102.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.39 : 9,441.09 = 3,697.57 : x
  2. Step 2: Convert to fraction form
    6,841.39/9,441.09 = 3,697.57/x
  3. Step 3: Cross multiply
    6,841.39x = 9,441.09 × 3,697.57
  4. Step 4: Simplify right side
    6,841.39x = 34,909,091.15
  5. Step 5: Solve for x
    x = 34,909,091.15/6,841.39
  6. Step 6: Final answer
    x = 5,102.63

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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.