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Finding the Fourth Proportional to 9,302.45, 12,839.38 and 5,717.39

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Solution

The fourth proportional to 9,302.45, 12,839.38 and 5,717.39 is: 7,891.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.45 : 12,839.38 = 5,717.39 : x
  2. Step 2: Convert to fraction form
    9,302.45/12,839.38 = 5,717.39/x
  3. Step 3: Cross multiply
    9,302.45x = 12,839.38 × 5,717.39
  4. Step 4: Simplify right side
    9,302.45x = 73,407,664.33
  5. Step 5: Solve for x
    x = 73,407,664.33/9,302.45
  6. Step 6: Final answer
    x = 7,891.22

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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.