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Finding the Fourth Proportional to 9,997.02, 13,796.93 and 5,749.38

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Solution

The fourth proportional to 9,997.02, 13,796.93 and 5,749.38 is: 7,934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.02 : 13,796.93 = 5,749.38 : x
  2. Step 2: Convert to fraction form
    9,997.02/13,796.93 = 5,749.38/x
  3. Step 3: Cross multiply
    9,997.02x = 13,796.93 × 5,749.38
  4. Step 4: Simplify right side
    9,997.02x = 79,323,807.78
  5. Step 5: Solve for x
    x = 79,323,807.78/9,997.02
  6. Step 6: Final answer
    x = 7,934.75

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Why These Related Problems?

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