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Finding the Fourth Proportional to 6,380.25, 9,572.32 and 3,262.44

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Solution

The fourth proportional to 6,380.25, 9,572.32 and 3,262.44 is: 4,894.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.25 : 9,572.32 = 3,262.44 : x
  2. Step 2: Convert to fraction form
    6,380.25/9,572.32 = 3,262.44/x
  3. Step 3: Cross multiply
    6,380.25x = 9,572.32 × 3,262.44
  4. Step 4: Simplify right side
    6,380.25x = 31,229,150.26
  5. Step 5: Solve for x
    x = 31,229,150.26/6,380.25
  6. Step 6: Final answer
    x = 4,894.66

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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.