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Finding the Fourth Proportional to 7,244.02, 9,997.29 and 4,100.68

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Solution

The fourth proportional to 7,244.02, 9,997.29 and 4,100.68 is: 5,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.02 : 9,997.29 = 4,100.68 : x
  2. Step 2: Convert to fraction form
    7,244.02/9,997.29 = 4,100.68/x
  3. Step 3: Cross multiply
    7,244.02x = 9,997.29 × 4,100.68
  4. Step 4: Simplify right side
    7,244.02x = 40,995,687.16
  5. Step 5: Solve for x
    x = 40,995,687.16/7,244.02
  6. Step 6: Final answer
    x = 5,659.25

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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.