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Finding the Fourth Proportional to 6,336.12, 8,742.60 and 3,981.60

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Solution

The fourth proportional to 6,336.12, 8,742.60 and 3,981.60 is: 5,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.12 : 8,742.60 = 3,981.60 : x
  2. Step 2: Convert to fraction form
    6,336.12/8,742.60 = 3,981.60/x
  3. Step 3: Cross multiply
    6,336.12x = 8,742.60 × 3,981.60
  4. Step 4: Simplify right side
    6,336.12x = 34,809,536.16
  5. Step 5: Solve for x
    x = 34,809,536.16/6,336.12
  6. Step 6: Final answer
    x = 5,493.83

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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.