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Finding the Fourth Proportional to 6,397.32, 9,578.26 and 3,270.60

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Solution

The fourth proportional to 6,397.32, 9,578.26 and 3,270.60 is: 4,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.32 : 9,578.26 = 3,270.60 : x
  2. Step 2: Convert to fraction form
    6,397.32/9,578.26 = 3,270.60/x
  3. Step 3: Cross multiply
    6,397.32x = 9,578.26 × 3,270.60
  4. Step 4: Simplify right side
    6,397.32x = 31,326,657.16
  5. Step 5: Solve for x
    x = 31,326,657.16/6,397.32
  6. Step 6: Final answer
    x = 4,896.84

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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.