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Finding the Fourth Proportional to 6,734.90, 9,295.46 and 4,083.76

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Solution

The fourth proportional to 6,734.90, 9,295.46 and 4,083.76 is: 5,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.90 : 9,295.46 = 4,083.76 : x
  2. Step 2: Convert to fraction form
    6,734.90/9,295.46 = 4,083.76/x
  3. Step 3: Cross multiply
    6,734.90x = 9,295.46 × 4,083.76
  4. Step 4: Simplify right side
    6,734.90x = 37,960,427.73
  5. Step 5: Solve for x
    x = 37,960,427.73/6,734.90
  6. Step 6: Final answer
    x = 5,636.38

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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.