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Finding the Fourth Proportional to 9,494.62, 14,243.94 and 3,571.57

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Solution

The fourth proportional to 9,494.62, 14,243.94 and 3,571.57 is: 5,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.62 : 14,243.94 = 3,571.57 : x
  2. Step 2: Convert to fraction form
    9,494.62/14,243.94 = 3,571.57/x
  3. Step 3: Cross multiply
    9,494.62x = 14,243.94 × 3,571.57
  4. Step 4: Simplify right side
    9,494.62x = 50,873,139.71
  5. Step 5: Solve for x
    x = 50,873,139.71/9,494.62
  6. Step 6: Final answer
    x = 5,358.10

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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.