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Finding the Fourth Proportional to 9,329.58, 13,986 and 8,517.96

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Solution

The fourth proportional to 9,329.58, 13,986 and 8,517.96 is: 12,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.58 : 13,986 = 8,517.96 : x
  2. Step 2: Convert to fraction form
    9,329.58/13,986 = 8,517.96/x
  3. Step 3: Cross multiply
    9,329.58x = 13,986 × 8,517.96
  4. Step 4: Simplify right side
    9,329.58x = 119,132,188.56
  5. Step 5: Solve for x
    x = 119,132,188.56/9,329.58
  6. Step 6: Final answer
    x = 12,769.30

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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.