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Finding the Fourth Proportional to 9,722.71, 14,581.03 and 3,147.54

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Solution

The fourth proportional to 9,722.71, 14,581.03 and 3,147.54 is: 4,720.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.71 : 14,581.03 = 3,147.54 : x
  2. Step 2: Convert to fraction form
    9,722.71/14,581.03 = 3,147.54/x
  3. Step 3: Cross multiply
    9,722.71x = 14,581.03 × 3,147.54
  4. Step 4: Simplify right side
    9,722.71x = 45,894,375.17
  5. Step 5: Solve for x
    x = 45,894,375.17/9,722.71
  6. Step 6: Final answer
    x = 4,720.33

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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.