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Finding the Fourth Proportional to 29,273.76, 43,916.76 and 9,553.44

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Solution

The fourth proportional to 29,273.76, 43,916.76 and 9,553.44 is: 14,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,273.76 : 43,916.76 = 9,553.44 : x
  2. Step 2: Convert to fraction form
    29,273.76/43,916.76 = 9,553.44/x
  3. Step 3: Cross multiply
    29,273.76x = 43,916.76 × 9,553.44
  4. Step 4: Simplify right side
    29,273.76x = 419,556,131.65
  5. Step 5: Solve for x
    x = 419,556,131.65/29,273.76
  6. Step 6: Final answer
    x = 14,332.16

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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.