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Finding the Fourth Proportional to 9,847.88, 14,771.81 and 2,922.38

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Solution

The fourth proportional to 9,847.88, 14,771.81 and 2,922.38 is: 4,383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.88 : 14,771.81 = 2,922.38 : x
  2. Step 2: Convert to fraction form
    9,847.88/14,771.81 = 2,922.38/x
  3. Step 3: Cross multiply
    9,847.88x = 14,771.81 × 2,922.38
  4. Step 4: Simplify right side
    9,847.88x = 43,168,775.55
  5. Step 5: Solve for x
    x = 43,168,775.55/9,847.88
  6. Step 6: Final answer
    x = 4,383.56

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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.