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Finding the Fourth Proportional to 6,734.25, 9,293.45 and 3,750.21

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Solution

The fourth proportional to 6,734.25, 9,293.45 and 3,750.21 is: 5,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.25 : 9,293.45 = 3,750.21 : x
  2. Step 2: Convert to fraction form
    6,734.25/9,293.45 = 3,750.21/x
  3. Step 3: Cross multiply
    6,734.25x = 9,293.45 × 3,750.21
  4. Step 4: Simplify right side
    6,734.25x = 34,852,370.37
  5. Step 5: Solve for x
    x = 34,852,370.37/6,734.25
  6. Step 6: Final answer
    x = 5,175.39

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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.