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Finding the Fourth Proportional to 6,245.84, 9,361.64 and 2,084.88

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Solution

The fourth proportional to 6,245.84, 9,361.64 and 2,084.88 is: 3,124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245.84 : 9,361.64 = 2,084.88 : x
  2. Step 2: Convert to fraction form
    6,245.84/9,361.64 = 2,084.88/x
  3. Step 3: Cross multiply
    6,245.84x = 9,361.64 × 2,084.88
  4. Step 4: Simplify right side
    6,245.84x = 19,517,896.00
  5. Step 5: Solve for x
    x = 19,517,896.00/6,245.84
  6. Step 6: Final answer
    x = 3,124.94

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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.