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Finding the Fourth Proportional to 6,981.48, 9,635.22 and 3,837.60

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Solution

The fourth proportional to 6,981.48, 9,635.22 and 3,837.60 is: 5,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.48 : 9,635.22 = 3,837.60 : x
  2. Step 2: Convert to fraction form
    6,981.48/9,635.22 = 3,837.60/x
  3. Step 3: Cross multiply
    6,981.48x = 9,635.22 × 3,837.60
  4. Step 4: Simplify right side
    6,981.48x = 36,976,120.27
  5. Step 5: Solve for x
    x = 36,976,120.27/6,981.48
  6. Step 6: Final answer
    x = 5,296.32

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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.