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Finding the Fourth Proportional to 6,419.05, 9,611.19 and 3,334.57

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Solution

The fourth proportional to 6,419.05, 9,611.19 and 3,334.57 is: 4,992.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.05 : 9,611.19 = 3,334.57 : x
  2. Step 2: Convert to fraction form
    6,419.05/9,611.19 = 3,334.57/x
  3. Step 3: Cross multiply
    6,419.05x = 9,611.19 × 3,334.57
  4. Step 4: Simplify right side
    6,419.05x = 32,049,185.84
  5. Step 5: Solve for x
    x = 32,049,185.84/6,419.05
  6. Step 6: Final answer
    x = 4,992.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.