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Finding the Fourth Proportional to 9,791.34, 13,505.31 and 8,171.75

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Solution

The fourth proportional to 9,791.34, 13,505.31 and 8,171.75 is: 11,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.34 : 13,505.31 = 8,171.75 : x
  2. Step 2: Convert to fraction form
    9,791.34/13,505.31 = 8,171.75/x
  3. Step 3: Cross multiply
    9,791.34x = 13,505.31 × 8,171.75
  4. Step 4: Simplify right side
    9,791.34x = 110,362,016.99
  5. Step 5: Solve for x
    x = 110,362,016.99/9,791.34
  6. Step 6: Final answer
    x = 11,271.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.