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Finding the Fourth Proportional to 9,273.70, 13,898.24 and 8,035.31

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Solution

The fourth proportional to 9,273.70, 13,898.24 and 8,035.31 is: 12,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273.70 : 13,898.24 = 8,035.31 : x
  2. Step 2: Convert to fraction form
    9,273.70/13,898.24 = 8,035.31/x
  3. Step 3: Cross multiply
    9,273.70x = 13,898.24 × 8,035.31
  4. Step 4: Simplify right side
    9,273.70x = 111,676,721.69
  5. Step 5: Solve for x
    x = 111,676,721.69/9,273.70
  6. Step 6: Final answer
    x = 12,042.31

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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.