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Finding the Fourth Proportional to 6,671.92, 9,994.92 and 3,211.60

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Solution

The fourth proportional to 6,671.92, 9,994.92 and 3,211.60 is: 4,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.92 : 9,994.92 = 3,211.60 : x
  2. Step 2: Convert to fraction form
    6,671.92/9,994.92 = 3,211.60/x
  3. Step 3: Cross multiply
    6,671.92x = 9,994.92 × 3,211.60
  4. Step 4: Simplify right side
    6,671.92x = 32,099,685.07
  5. Step 5: Solve for x
    x = 32,099,685.07/6,671.92
  6. Step 6: Final answer
    x = 4,811.16

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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.