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Finding the Fourth Proportional to 9,329.22, 13,993.86 and 7,682.34

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Solution

The fourth proportional to 9,329.22, 13,993.86 and 7,682.34 is: 11,523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.22 : 13,993.86 = 7,682.34 : x
  2. Step 2: Convert to fraction form
    9,329.22/13,993.86 = 7,682.34/x
  3. Step 3: Cross multiply
    9,329.22x = 13,993.86 × 7,682.34
  4. Step 4: Simplify right side
    9,329.22x = 107,505,590.43
  5. Step 5: Solve for x
    x = 107,505,590.43/9,329.22
  6. Step 6: Final answer
    x = 11,523.53

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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.