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Finding the Fourth Proportional to 8,993.92, 12,406.80 and 5,846.80

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Solution

The fourth proportional to 8,993.92, 12,406.80 and 5,846.80 is: 8,065.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.92 : 12,406.80 = 5,846.80 : x
  2. Step 2: Convert to fraction form
    8,993.92/12,406.80 = 5,846.80/x
  3. Step 3: Cross multiply
    8,993.92x = 12,406.80 × 5,846.80
  4. Step 4: Simplify right side
    8,993.92x = 72,540,078.24
  5. Step 5: Solve for x
    x = 72,540,078.24/8,993.92
  6. Step 6: Final answer
    x = 8,065.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.