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Finding the Fourth Proportional to 7,268.08, 9,969.56 and 7,205.60

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Solution

The fourth proportional to 7,268.08, 9,969.56 and 7,205.60 is: 9,883.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268.08 : 9,969.56 = 7,205.60 : x
  2. Step 2: Convert to fraction form
    7,268.08/9,969.56 = 7,205.60/x
  3. Step 3: Cross multiply
    7,268.08x = 9,969.56 × 7,205.60
  4. Step 4: Simplify right side
    7,268.08x = 71,836,661.54
  5. Step 5: Solve for x
    x = 71,836,661.54/7,268.08
  6. Step 6: Final answer
    x = 9,883.86

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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.