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Finding the Fourth Proportional to 9,398.33, 12,969.82 and 6,042.25

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Solution

The fourth proportional to 9,398.33, 12,969.82 and 6,042.25 is: 8,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.33 : 12,969.82 = 6,042.25 : x
  2. Step 2: Convert to fraction form
    9,398.33/12,969.82 = 6,042.25/x
  3. Step 3: Cross multiply
    9,398.33x = 12,969.82 × 6,042.25
  4. Step 4: Simplify right side
    9,398.33x = 78,366,845.70
  5. Step 5: Solve for x
    x = 78,366,845.70/9,398.33
  6. Step 6: Final answer
    x = 8,338.38

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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.