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Finding the Fourth Proportional to 9,446.72, 14,163.14 and 4,764.42

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Solution

The fourth proportional to 9,446.72, 14,163.14 and 4,764.42 is: 7,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.72 : 14,163.14 = 4,764.42 : x
  2. Step 2: Convert to fraction form
    9,446.72/14,163.14 = 4,764.42/x
  3. Step 3: Cross multiply
    9,446.72x = 14,163.14 × 4,764.42
  4. Step 4: Simplify right side
    9,446.72x = 67,479,147.48
  5. Step 5: Solve for x
    x = 67,479,147.48/9,446.72
  6. Step 6: Final answer
    x = 7,143.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.