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Finding the Fourth Proportional to 7,022.44, 9,626.69 and 6,896.80

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Solution

The fourth proportional to 7,022.44, 9,626.69 and 6,896.80 is: 9,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.44 : 9,626.69 = 6,896.80 : x
  2. Step 2: Convert to fraction form
    7,022.44/9,626.69 = 6,896.80/x
  3. Step 3: Cross multiply
    7,022.44x = 9,626.69 × 6,896.80
  4. Step 4: Simplify right side
    7,022.44x = 66,393,355.59
  5. Step 5: Solve for x
    x = 66,393,355.59/7,022.44
  6. Step 6: Final answer
    x = 9,454.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.