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Finding the Fourth Proportional to 6,382.44, 9,574.22 and 1,765.44

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Solution

The fourth proportional to 6,382.44, 9,574.22 and 1,765.44 is: 2,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.44 : 9,574.22 = 1,765.44 : x
  2. Step 2: Convert to fraction form
    6,382.44/9,574.22 = 1,765.44/x
  3. Step 3: Cross multiply
    6,382.44x = 9,574.22 × 1,765.44
  4. Step 4: Simplify right side
    6,382.44x = 16,902,710.96
  5. Step 5: Solve for x
    x = 16,902,710.96/6,382.44
  6. Step 6: Final answer
    x = 2,648.31

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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.