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Finding the Fourth Proportional to 6,428.36, 9,634.60 and 3,657.32

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Solution

The fourth proportional to 6,428.36, 9,634.60 and 3,657.32 is: 5,481.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.36 : 9,634.60 = 3,657.32 : x
  2. Step 2: Convert to fraction form
    6,428.36/9,634.60 = 3,657.32/x
  3. Step 3: Cross multiply
    6,428.36x = 9,634.60 × 3,657.32
  4. Step 4: Simplify right side
    6,428.36x = 35,236,815.27
  5. Step 5: Solve for x
    x = 35,236,815.27/6,428.36
  6. Step 6: Final answer
    x = 5,481.46

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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.