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Finding the Fourth Proportional to 6,969.14, 9,617.46 and 3,782.44

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Solution

The fourth proportional to 6,969.14, 9,617.46 and 3,782.44 is: 5,219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.14 : 9,617.46 = 3,782.44 : x
  2. Step 2: Convert to fraction form
    6,969.14/9,617.46 = 3,782.44/x
  3. Step 3: Cross multiply
    6,969.14x = 9,617.46 × 3,782.44
  4. Step 4: Simplify right side
    6,969.14x = 36,377,465.40
  5. Step 5: Solve for x
    x = 36,377,465.40/6,969.14
  6. Step 6: Final answer
    x = 5,219.79

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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.