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Finding the Fourth Proportional to 9,196.00, 13,791.31 and 4,195.55

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Solution

The fourth proportional to 9,196.00, 13,791.31 and 4,195.55 is: 6,292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.00 : 13,791.31 = 4,195.55 : x
  2. Step 2: Convert to fraction form
    9,196.00/13,791.31 = 4,195.55/x
  3. Step 3: Cross multiply
    9,196.00x = 13,791.31 × 4,195.55
  4. Step 4: Simplify right side
    9,196.00x = 57,862,100.68
  5. Step 5: Solve for x
    x = 57,862,100.68/9,196.00
  6. Step 6: Final answer
    x = 6,292.09

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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.