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Finding the Fourth Proportional to 6,981.30, 9,634.14 and 3,837.48

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Solution

The fourth proportional to 6,981.30, 9,634.14 and 3,837.48 is: 5,295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.30 : 9,634.14 = 3,837.48 : x
  2. Step 2: Convert to fraction form
    6,981.30/9,634.14 = 3,837.48/x
  3. Step 3: Cross multiply
    6,981.30x = 9,634.14 × 3,837.48
  4. Step 4: Simplify right side
    6,981.30x = 36,970,819.57
  5. Step 5: Solve for x
    x = 36,970,819.57/6,981.30
  6. Step 6: Final answer
    x = 5,295.69

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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.