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Finding the Fourth Proportional to 9,229.44, 13,846.52 and 2,656.11

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Solution

The fourth proportional to 9,229.44, 13,846.52 and 2,656.11 is: 3,984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.44 : 13,846.52 = 2,656.11 : x
  2. Step 2: Convert to fraction form
    9,229.44/13,846.52 = 2,656.11/x
  3. Step 3: Cross multiply
    9,229.44x = 13,846.52 × 2,656.11
  4. Step 4: Simplify right side
    9,229.44x = 36,777,880.24
  5. Step 5: Solve for x
    x = 36,777,880.24/9,229.44
  6. Step 6: Final answer
    x = 3,984.84

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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.