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Finding the Fourth Proportional to 6,981.80, 9,634.91 and 3,795.12

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Solution

The fourth proportional to 6,981.80, 9,634.91 and 3,795.12 is: 5,237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.80 : 9,634.91 = 3,795.12 : x
  2. Step 2: Convert to fraction form
    6,981.80/9,634.91 = 3,795.12/x
  3. Step 3: Cross multiply
    6,981.80x = 9,634.91 × 3,795.12
  4. Step 4: Simplify right side
    6,981.80x = 36,565,620.66
  5. Step 5: Solve for x
    x = 36,565,620.66/6,981.80
  6. Step 6: Final answer
    x = 5,237.28

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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.