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Finding the Fourth Proportional to 6,965.44, 9,612.47 and 3,821.63

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Solution

The fourth proportional to 6,965.44, 9,612.47 and 3,821.63 is: 5,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.44 : 9,612.47 = 3,821.63 : x
  2. Step 2: Convert to fraction form
    6,965.44/9,612.47 = 3,821.63/x
  3. Step 3: Cross multiply
    6,965.44x = 9,612.47 × 3,821.63
  4. Step 4: Simplify right side
    6,965.44x = 36,735,265.22
  5. Step 5: Solve for x
    x = 36,735,265.22/6,965.44
  6. Step 6: Final answer
    x = 5,273.94

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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.