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Finding the Fourth Proportional to 6,243.84, 9,367.10 and 1,861.64

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Solution

The fourth proportional to 6,243.84, 9,367.10 and 1,861.64 is: 2,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243.84 : 9,367.10 = 1,861.64 : x
  2. Step 2: Convert to fraction form
    6,243.84/9,367.10 = 1,861.64/x
  3. Step 3: Cross multiply
    6,243.84x = 9,367.10 × 1,861.64
  4. Step 4: Simplify right side
    6,243.84x = 17,438,168.04
  5. Step 5: Solve for x
    x = 17,438,168.04/6,243.84
  6. Step 6: Final answer
    x = 2,792.86

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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.