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Finding the Fourth Proportional to 6,841.32, 9,440.74 and 3,857.76

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Solution

The fourth proportional to 6,841.32, 9,440.74 and 3,857.76 is: 5,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.32 : 9,440.74 = 3,857.76 : x
  2. Step 2: Convert to fraction form
    6,841.32/9,440.74 = 3,857.76/x
  3. Step 3: Cross multiply
    6,841.32x = 9,440.74 × 3,857.76
  4. Step 4: Simplify right side
    6,841.32x = 36,420,109.14
  5. Step 5: Solve for x
    x = 36,420,109.14/6,841.32
  6. Step 6: Final answer
    x = 5,323.55

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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.