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Finding the Fourth Proportional to 9,193.96, 13,791.75 and 2,620

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Solution

The fourth proportional to 9,193.96, 13,791.75 and 2,620 is: 3,930.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.96 : 13,791.75 = 2,620 : x
  2. Step 2: Convert to fraction form
    9,193.96/13,791.75 = 2,620/x
  3. Step 3: Cross multiply
    9,193.96x = 13,791.75 × 2,620
  4. Step 4: Simplify right side
    9,193.96x = 36,134,385
  5. Step 5: Solve for x
    x = 36,134,385/9,193.96
  6. Step 6: Final answer
    x = 3,930.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.