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Finding the Fourth Proportional to 6,981.59, 9,634.68 and 3,837.75

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Solution

The fourth proportional to 6,981.59, 9,634.68 and 3,837.75 is: 5,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.59 : 9,634.68 = 3,837.75 : x
  2. Step 2: Convert to fraction form
    6,981.59/9,634.68 = 3,837.75/x
  3. Step 3: Cross multiply
    6,981.59x = 9,634.68 × 3,837.75
  4. Step 4: Simplify right side
    6,981.59x = 36,975,493.17
  5. Step 5: Solve for x
    x = 36,975,493.17/6,981.59
  6. Step 6: Final answer
    x = 5,296.15

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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.