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Finding the Fourth Proportional to 7,093.80, 9,789.65 and 3,907.29

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Solution

The fourth proportional to 7,093.80, 9,789.65 and 3,907.29 is: 5,392.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.80 : 9,789.65 = 3,907.29 : x
  2. Step 2: Convert to fraction form
    7,093.80/9,789.65 = 3,907.29/x
  3. Step 3: Cross multiply
    7,093.80x = 9,789.65 × 3,907.29
  4. Step 4: Simplify right side
    7,093.80x = 38,251,033.38
  5. Step 5: Solve for x
    x = 38,251,033.38/7,093.80
  6. Step 6: Final answer
    x = 5,392.18

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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.