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Finding the Fourth Proportional to 9,997.90, 13,798.64 and 6,171.77

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Solution

The fourth proportional to 9,997.90, 13,798.64 and 6,171.77 is: 8,517.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.90 : 13,798.64 = 6,171.77 : x
  2. Step 2: Convert to fraction form
    9,997.90/13,798.64 = 6,171.77/x
  3. Step 3: Cross multiply
    9,997.90x = 13,798.64 × 6,171.77
  4. Step 4: Simplify right side
    9,997.90x = 85,161,969.99
  5. Step 5: Solve for x
    x = 85,161,969.99/9,997.90
  6. Step 6: Final answer
    x = 8,517.99

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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.