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Finding the Fourth Proportional to 6,532.23, 9,797.32 and 2,149.65

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Solution

The fourth proportional to 6,532.23, 9,797.32 and 2,149.65 is: 3,224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.23 : 9,797.32 = 2,149.65 : x
  2. Step 2: Convert to fraction form
    6,532.23/9,797.32 = 2,149.65/x
  3. Step 3: Cross multiply
    6,532.23x = 9,797.32 × 2,149.65
  4. Step 4: Simplify right side
    6,532.23x = 21,060,808.94
  5. Step 5: Solve for x
    x = 21,060,808.94/6,532.23
  6. Step 6: Final answer
    x = 3,224.14

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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.