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Finding the Fourth Proportional to 6,212.80, 9,308.40 and 3,901.60

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Solution

The fourth proportional to 6,212.80, 9,308.40 and 3,901.60 is: 5,845.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.80 : 9,308.40 = 3,901.60 : x
  2. Step 2: Convert to fraction form
    6,212.80/9,308.40 = 3,901.60/x
  3. Step 3: Cross multiply
    6,212.80x = 9,308.40 × 3,901.60
  4. Step 4: Simplify right side
    6,212.80x = 36,317,653.44
  5. Step 5: Solve for x
    x = 36,317,653.44/6,212.80
  6. Step 6: Final answer
    x = 5,845.62

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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.