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Finding the Fourth Proportional to 6,965.57, 9,612.45 and 3,821.69

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Solution

The fourth proportional to 6,965.57, 9,612.45 and 3,821.69 is: 5,273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.57 : 9,612.45 = 3,821.69 : x
  2. Step 2: Convert to fraction form
    6,965.57/9,612.45 = 3,821.69/x
  3. Step 3: Cross multiply
    6,965.57x = 9,612.45 × 3,821.69
  4. Step 4: Simplify right side
    6,965.57x = 36,735,755.98
  5. Step 5: Solve for x
    x = 36,735,755.98/6,965.57
  6. Step 6: Final answer
    x = 5,273.91

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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.