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Finding the Fourth Proportional to 7,080.26, 9,770.63 and 3,936.38

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Solution

The fourth proportional to 7,080.26, 9,770.63 and 3,936.38 is: 5,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080.26 : 9,770.63 = 3,936.38 : x
  2. Step 2: Convert to fraction form
    7,080.26/9,770.63 = 3,936.38/x
  3. Step 3: Cross multiply
    7,080.26x = 9,770.63 × 3,936.38
  4. Step 4: Simplify right side
    7,080.26x = 38,460,843.98
  5. Step 5: Solve for x
    x = 38,460,843.98/7,080.26
  6. Step 6: Final answer
    x = 5,432.13

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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.