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Finding the Fourth Proportional to 6,964.84, 9,611.68 and 3,981.16

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Solution

The fourth proportional to 6,964.84, 9,611.68 and 3,981.16 is: 5,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.84 : 9,611.68 = 3,981.16 : x
  2. Step 2: Convert to fraction form
    6,964.84/9,611.68 = 3,981.16/x
  3. Step 3: Cross multiply
    6,964.84x = 9,611.68 × 3,981.16
  4. Step 4: Simplify right side
    6,964.84x = 38,265,635.95
  5. Step 5: Solve for x
    x = 38,265,635.95/6,964.84
  6. Step 6: Final answer
    x = 5,494.12

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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.