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Finding the Fourth Proportional to 9,997.31, 13,791.71 and 5,803.13

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Solution

The fourth proportional to 9,997.31, 13,791.71 and 5,803.13 is: 8,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.31 : 13,791.71 = 5,803.13 : x
  2. Step 2: Convert to fraction form
    9,997.31/13,791.71 = 5,803.13/x
  3. Step 3: Cross multiply
    9,997.31x = 13,791.71 × 5,803.13
  4. Step 4: Simplify right side
    9,997.31x = 80,034,988.08
  5. Step 5: Solve for x
    x = 80,034,988.08/9,997.31
  6. Step 6: Final answer
    x = 8,005.66

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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.