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Finding the Fourth Proportional to 9,997.12, 14,998.75 and 7,224.76

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Solution

The fourth proportional to 9,997.12, 14,998.75 and 7,224.76 is: 10,839.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.12 : 14,998.75 = 7,224.76 : x
  2. Step 2: Convert to fraction form
    9,997.12/14,998.75 = 7,224.76/x
  3. Step 3: Cross multiply
    9,997.12x = 14,998.75 × 7,224.76
  4. Step 4: Simplify right side
    9,997.12x = 108,362,312.12
  5. Step 5: Solve for x
    x = 108,362,312.12/9,997.12
  6. Step 6: Final answer
    x = 10,839.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.