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Finding the Fourth Proportional to 6,229.64, 9,346.27 and 1,847.21

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Solution

The fourth proportional to 6,229.64, 9,346.27 and 1,847.21 is: 2,771.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.64 : 9,346.27 = 1,847.21 : x
  2. Step 2: Convert to fraction form
    6,229.64/9,346.27 = 1,847.21/x
  3. Step 3: Cross multiply
    6,229.64x = 9,346.27 × 1,847.21
  4. Step 4: Simplify right side
    6,229.64x = 17,264,472.06
  5. Step 5: Solve for x
    x = 17,264,472.06/6,229.64
  6. Step 6: Final answer
    x = 2,771.34

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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.