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Finding the Fourth Proportional to 6,378.26, 9,562.77 and 4,293.09

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Solution

The fourth proportional to 6,378.26, 9,562.77 and 4,293.09 is: 6,436.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.26 : 9,562.77 = 4,293.09 : x
  2. Step 2: Convert to fraction form
    6,378.26/9,562.77 = 4,293.09/x
  3. Step 3: Cross multiply
    6,378.26x = 9,562.77 × 4,293.09
  4. Step 4: Simplify right side
    6,378.26x = 41,053,832.26
  5. Step 5: Solve for x
    x = 41,053,832.26/6,378.26
  6. Step 6: Final answer
    x = 6,436.53

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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.