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Finding the Fourth Proportional to 6,231.60, 9,334.80 and 3,884.40

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Solution

The fourth proportional to 6,231.60, 9,334.80 and 3,884.40 is: 5,818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.60 : 9,334.80 = 3,884.40 : x
  2. Step 2: Convert to fraction form
    6,231.60/9,334.80 = 3,884.40/x
  3. Step 3: Cross multiply
    6,231.60x = 9,334.80 × 3,884.40
  4. Step 4: Simplify right side
    6,231.60x = 36,260,097.12
  5. Step 5: Solve for x
    x = 36,260,097.12/6,231.60
  6. Step 6: Final answer
    x = 5,818.75

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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.