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Finding the Fourth Proportional to 6,735.97, 9,295.66 and 3,903.90

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Solution

The fourth proportional to 6,735.97, 9,295.66 and 3,903.90 is: 5,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.97 : 9,295.66 = 3,903.90 : x
  2. Step 2: Convert to fraction form
    6,735.97/9,295.66 = 3,903.90/x
  3. Step 3: Cross multiply
    6,735.97x = 9,295.66 × 3,903.90
  4. Step 4: Simplify right side
    6,735.97x = 36,289,297.10
  5. Step 5: Solve for x
    x = 36,289,297.10/6,735.97
  6. Step 6: Final answer
    x = 5,387.39

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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.