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Finding the Fourth Proportional to 6,964.88, 9,612.14 and 3,821.68

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Solution

The fourth proportional to 6,964.88, 9,612.14 and 3,821.68 is: 5,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.88 : 9,612.14 = 3,821.68 : x
  2. Step 2: Convert to fraction form
    6,964.88/9,612.14 = 3,821.68/x
  3. Step 3: Cross multiply
    6,964.88x = 9,612.14 × 3,821.68
  4. Step 4: Simplify right side
    6,964.88x = 36,734,523.20
  5. Step 5: Solve for x
    x = 36,734,523.20/6,964.88
  6. Step 6: Final answer
    x = 5,274.25

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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.