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Finding the Fourth Proportional to 6,969.32, 9,617.37 and 3,825.31

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Solution

The fourth proportional to 6,969.32, 9,617.37 and 3,825.31 is: 5,278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.32 : 9,617.37 = 3,825.31 : x
  2. Step 2: Convert to fraction form
    6,969.32/9,617.37 = 3,825.31/x
  3. Step 3: Cross multiply
    6,969.32x = 9,617.37 × 3,825.31
  4. Step 4: Simplify right side
    6,969.32x = 36,789,373.55
  5. Step 5: Solve for x
    x = 36,789,373.55/6,969.32
  6. Step 6: Final answer
    x = 5,278.76

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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.