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Finding the Fourth Proportional to 6,283.05, 9,426.74 and 3,940.24

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Solution

The fourth proportional to 6,283.05, 9,426.74 and 3,940.24 is: 5,911.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.05 : 9,426.74 = 3,940.24 : x
  2. Step 2: Convert to fraction form
    6,283.05/9,426.74 = 3,940.24/x
  3. Step 3: Cross multiply
    6,283.05x = 9,426.74 × 3,940.24
  4. Step 4: Simplify right side
    6,283.05x = 37,143,618.02
  5. Step 5: Solve for x
    x = 37,143,618.02/6,283.05
  6. Step 6: Final answer
    x = 5,911.72

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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.