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Finding the Fourth Proportional to 6,981.40, 9,633.99 and 3,837.52

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Solution

The fourth proportional to 6,981.40, 9,633.99 and 3,837.52 is: 5,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.40 : 9,633.99 = 3,837.52 : x
  2. Step 2: Convert to fraction form
    6,981.40/9,633.99 = 3,837.52/x
  3. Step 3: Cross multiply
    6,981.40x = 9,633.99 × 3,837.52
  4. Step 4: Simplify right side
    6,981.40x = 36,970,629.30
  5. Step 5: Solve for x
    x = 36,970,629.30/6,981.40
  6. Step 6: Final answer
    x = 5,295.59

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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.