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Finding the Fourth Proportional to 9,596.20, 13,146.84 and 9,236.65

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Solution

The fourth proportional to 9,596.20, 13,146.84 and 9,236.65 is: 12,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.20 : 13,146.84 = 9,236.65 : x
  2. Step 2: Convert to fraction form
    9,596.20/13,146.84 = 9,236.65/x
  3. Step 3: Cross multiply
    9,596.20x = 13,146.84 × 9,236.65
  4. Step 4: Simplify right side
    9,596.20x = 121,432,759.69
  5. Step 5: Solve for x
    x = 121,432,759.69/9,596.20
  6. Step 6: Final answer
    x = 12,654.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.