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Finding the Fourth Proportional to 6,746.83, 9,310.17 and 3,914.29

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Solution

The fourth proportional to 6,746.83, 9,310.17 and 3,914.29 is: 5,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.83 : 9,310.17 = 3,914.29 : x
  2. Step 2: Convert to fraction form
    6,746.83/9,310.17 = 3,914.29/x
  3. Step 3: Cross multiply
    6,746.83x = 9,310.17 × 3,914.29
  4. Step 4: Simplify right side
    6,746.83x = 36,442,705.33
  5. Step 5: Solve for x
    x = 36,442,705.33/6,746.83
  6. Step 6: Final answer
    x = 5,401.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.