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Finding the Fourth Proportional to 6,380.44, 9,572.60 and 3,262.63

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Solution

The fourth proportional to 6,380.44, 9,572.60 and 3,262.63 is: 4,894.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.44 : 9,572.60 = 3,262.63 : x
  2. Step 2: Convert to fraction form
    6,380.44/9,572.60 = 3,262.63/x
  3. Step 3: Cross multiply
    6,380.44x = 9,572.60 × 3,262.63
  4. Step 4: Simplify right side
    6,380.44x = 31,231,862.68
  5. Step 5: Solve for x
    x = 31,231,862.68/6,380.44
  6. Step 6: Final answer
    x = 4,894.94

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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.