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Finding the Fourth Proportional to 6,367.92, 9,552.93 and 1,984.49

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Solution

The fourth proportional to 6,367.92, 9,552.93 and 1,984.49 is: 2,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.92 : 9,552.93 = 1,984.49 : x
  2. Step 2: Convert to fraction form
    6,367.92/9,552.93 = 1,984.49/x
  3. Step 3: Cross multiply
    6,367.92x = 9,552.93 × 1,984.49
  4. Step 4: Simplify right side
    6,367.92x = 18,957,684.13
  5. Step 5: Solve for x
    x = 18,957,684.13/6,367.92
  6. Step 6: Final answer
    x = 2,977.06

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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.