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Finding the Fourth Proportional to 6,349.43, 9,525.68 and 2,649.61

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Solution

The fourth proportional to 6,349.43, 9,525.68 and 2,649.61 is: 3,975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.43 : 9,525.68 = 2,649.61 : x
  2. Step 2: Convert to fraction form
    6,349.43/9,525.68 = 2,649.61/x
  3. Step 3: Cross multiply
    6,349.43x = 9,525.68 × 2,649.61
  4. Step 4: Simplify right side
    6,349.43x = 25,239,299.92
  5. Step 5: Solve for x
    x = 25,239,299.92/6,349.43
  6. Step 6: Final answer
    x = 3,975.05

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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.