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Finding the Fourth Proportional to 6,965.37, 9,611.58 and 3,981.19

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Solution

The fourth proportional to 6,965.37, 9,611.58 and 3,981.19 is: 5,493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.37 : 9,611.58 = 3,981.19 : x
  2. Step 2: Convert to fraction form
    6,965.37/9,611.58 = 3,981.19/x
  3. Step 3: Cross multiply
    6,965.37x = 9,611.58 × 3,981.19
  4. Step 4: Simplify right side
    6,965.37x = 38,265,526.18
  5. Step 5: Solve for x
    x = 38,265,526.18/6,965.37
  6. Step 6: Final answer
    x = 5,493.68

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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.