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Finding the Fourth Proportional to 9,229.92, 13,845.12 and 7,042.56

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Solution

The fourth proportional to 9,229.92, 13,845.12 and 7,042.56 is: 10,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.92 : 13,845.12 = 7,042.56 : x
  2. Step 2: Convert to fraction form
    9,229.92/13,845.12 = 7,042.56/x
  3. Step 3: Cross multiply
    9,229.92x = 13,845.12 × 7,042.56
  4. Step 4: Simplify right side
    9,229.92x = 97,505,088.31
  5. Step 5: Solve for x
    x = 97,505,088.31/9,229.92
  6. Step 6: Final answer
    x = 10,564.02

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Why These Related Problems?

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