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Finding the Fourth Proportional to 6,969.22, 9,617.49 and 3,825.34

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Solution

The fourth proportional to 6,969.22, 9,617.49 and 3,825.34 is: 5,278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.22 : 9,617.49 = 3,825.34 : x
  2. Step 2: Convert to fraction form
    6,969.22/9,617.49 = 3,825.34/x
  3. Step 3: Cross multiply
    6,969.22x = 9,617.49 × 3,825.34
  4. Step 4: Simplify right side
    6,969.22x = 36,790,169.20
  5. Step 5: Solve for x
    x = 36,790,169.20/6,969.22
  6. Step 6: Final answer
    x = 5,278.95

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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.