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Finding the Fourth Proportional to 9,997.26, 13,793.64 and 6,804.78

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Solution

The fourth proportional to 9,997.26, 13,793.64 and 6,804.78 is: 9,388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.26 : 13,793.64 = 6,804.78 : x
  2. Step 2: Convert to fraction form
    9,997.26/13,793.64 = 6,804.78/x
  3. Step 3: Cross multiply
    9,997.26x = 13,793.64 × 6,804.78
  4. Step 4: Simplify right side
    9,997.26x = 93,862,685.60
  5. Step 5: Solve for x
    x = 93,862,685.60/9,997.26
  6. Step 6: Final answer
    x = 9,388.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.