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Finding the Fourth Proportional to 9,863.53, 14,786.51 and 3,622.12

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Solution

The fourth proportional to 9,863.53, 14,786.51 and 3,622.12 is: 5,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.53 : 14,786.51 = 3,622.12 : x
  2. Step 2: Convert to fraction form
    9,863.53/14,786.51 = 3,622.12/x
  3. Step 3: Cross multiply
    9,863.53x = 14,786.51 × 3,622.12
  4. Step 4: Simplify right side
    9,863.53x = 53,558,421.56
  5. Step 5: Solve for x
    x = 53,558,421.56/9,863.53
  6. Step 6: Final answer
    x = 5,429.94

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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.