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Finding the Fourth Proportional to 9,791.34, 13,514.90 and 5,964.36

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Solution

The fourth proportional to 9,791.34, 13,514.90 and 5,964.36 is: 8,232.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.34 : 13,514.90 = 5,964.36 : x
  2. Step 2: Convert to fraction form
    9,791.34/13,514.90 = 5,964.36/x
  3. Step 3: Cross multiply
    9,791.34x = 13,514.90 × 5,964.36
  4. Step 4: Simplify right side
    9,791.34x = 80,607,728.96
  5. Step 5: Solve for x
    x = 80,607,728.96/9,791.34
  6. Step 6: Final answer
    x = 8,232.55

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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.