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Finding the Fourth Proportional to 7,205.25, 9,943.25 and 3,893.25

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Solution

The fourth proportional to 7,205.25, 9,943.25 and 3,893.25 is: 5,372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.25 : 9,943.25 = 3,893.25 : x
  2. Step 2: Convert to fraction form
    7,205.25/9,943.25 = 3,893.25/x
  3. Step 3: Cross multiply
    7,205.25x = 9,943.25 × 3,893.25
  4. Step 4: Simplify right side
    7,205.25x = 38,711,538.60
  5. Step 5: Solve for x
    x = 38,711,538.60/7,205.25
  6. Step 6: Final answer
    x = 5,372.69

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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.