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Finding the Fourth Proportional to 6,400.47, 9,592.38 and 3,277.83

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Solution

The fourth proportional to 6,400.47, 9,592.38 and 3,277.83 is: 4,912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.47 : 9,592.38 = 3,277.83 : x
  2. Step 2: Convert to fraction form
    6,400.47/9,592.38 = 3,277.83/x
  3. Step 3: Cross multiply
    6,400.47x = 9,592.38 × 3,277.83
  4. Step 4: Simplify right side
    6,400.47x = 31,442,190.94
  5. Step 5: Solve for x
    x = 31,442,190.94/6,400.47
  6. Step 6: Final answer
    x = 4,912.48

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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.