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Finding the Fourth Proportional to 9,363.50, 12,892.14 and 7,944.24

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Solution

The fourth proportional to 9,363.50, 12,892.14 and 7,944.24 is: 10,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,363.50 : 12,892.14 = 7,944.24 : x
  2. Step 2: Convert to fraction form
    9,363.50/12,892.14 = 7,944.24/x
  3. Step 3: Cross multiply
    9,363.50x = 12,892.14 × 7,944.24
  4. Step 4: Simplify right side
    9,363.50x = 102,418,254.27
  5. Step 5: Solve for x
    x = 102,418,254.27/9,363.50
  6. Step 6: Final answer
    x = 10,938.03

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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.