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Finding the Fourth Proportional to 9,469.72, 14,201.55 and 3,143.20

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Solution

The fourth proportional to 9,469.72, 14,201.55 and 3,143.20 is: 4,713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.72 : 14,201.55 = 3,143.20 : x
  2. Step 2: Convert to fraction form
    9,469.72/14,201.55 = 3,143.20/x
  3. Step 3: Cross multiply
    9,469.72x = 14,201.55 × 3,143.20
  4. Step 4: Simplify right side
    9,469.72x = 44,638,311.96
  5. Step 5: Solve for x
    x = 44,638,311.96/9,469.72
  6. Step 6: Final answer
    x = 4,713.79

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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.