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Finding the Fourth Proportional to 6,425.37, 9,647.25 and 3,657.60

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Solution

The fourth proportional to 6,425.37, 9,647.25 and 3,657.60 is: 5,491.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.37 : 9,647.25 = 3,657.60 : x
  2. Step 2: Convert to fraction form
    6,425.37/9,647.25 = 3,657.60/x
  3. Step 3: Cross multiply
    6,425.37x = 9,647.25 × 3,657.60
  4. Step 4: Simplify right side
    6,425.37x = 35,285,781.60
  5. Step 5: Solve for x
    x = 35,285,781.60/6,425.37
  6. Step 6: Final answer
    x = 5,491.63

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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.