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Finding the Fourth Proportional to 9,847.03, 14,771.46 and 3,922.49

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Solution

The fourth proportional to 9,847.03, 14,771.46 and 3,922.49 is: 5,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.03 : 14,771.46 = 3,922.49 : x
  2. Step 2: Convert to fraction form
    9,847.03/14,771.46 = 3,922.49/x
  3. Step 3: Cross multiply
    9,847.03x = 14,771.46 × 3,922.49
  4. Step 4: Simplify right side
    9,847.03x = 57,940,904.14
  5. Step 5: Solve for x
    x = 57,940,904.14/9,847.03
  6. Step 6: Final answer
    x = 5,884.10

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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.