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Finding the Fourth Proportional to 9,293.38, 12,824.96 and 5,044.48

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Solution

The fourth proportional to 9,293.38, 12,824.96 and 5,044.48 is: 6,961.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.38 : 12,824.96 = 5,044.48 : x
  2. Step 2: Convert to fraction form
    9,293.38/12,824.96 = 5,044.48/x
  3. Step 3: Cross multiply
    9,293.38x = 12,824.96 × 5,044.48
  4. Step 4: Simplify right side
    9,293.38x = 64,695,254.22
  5. Step 5: Solve for x
    x = 64,695,254.22/9,293.38
  6. Step 6: Final answer
    x = 6,961.43

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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.