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Finding the Fourth Proportional to 10,144.15, 13,997.90 and 6,960.18

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Solution

The fourth proportional to 10,144.15, 13,997.90 and 6,960.18 is: 9,604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.15 : 13,997.90 = 6,960.18 : x
  2. Step 2: Convert to fraction form
    10,144.15/13,997.90 = 6,960.18/x
  3. Step 3: Cross multiply
    10,144.15x = 13,997.90 × 6,960.18
  4. Step 4: Simplify right side
    10,144.15x = 97,427,921.22
  5. Step 5: Solve for x
    x = 97,427,921.22/10,144.15
  6. Step 6: Final answer
    x = 9,604.35

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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.