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Finding the Fourth Proportional to 9,997.16, 14,997.82 and 5,002.12

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Solution

The fourth proportional to 9,997.16, 14,997.82 and 5,002.12 is: 7,504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.16 : 14,997.82 = 5,002.12 : x
  2. Step 2: Convert to fraction form
    9,997.16/14,997.82 = 5,002.12/x
  3. Step 3: Cross multiply
    9,997.16x = 14,997.82 × 5,002.12
  4. Step 4: Simplify right side
    9,997.16x = 75,020,895.38
  5. Step 5: Solve for x
    x = 75,020,895.38/9,997.16
  6. Step 6: Final answer
    x = 7,504.22

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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.