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Finding the Fourth Proportional to 9,845, 14,771.85 and 5,163.89

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Solution

The fourth proportional to 9,845, 14,771.85 and 5,163.89 is: 7,748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845 : 14,771.85 = 5,163.89 : x
  2. Step 2: Convert to fraction form
    9,845/14,771.85 = 5,163.89/x
  3. Step 3: Cross multiply
    9,845x = 14,771.85 × 5,163.89
  4. Step 4: Simplify right side
    9,845x = 76,280,208.50
  5. Step 5: Solve for x
    x = 76,280,208.50/9,845
  6. Step 6: Final answer
    x = 7,748.12

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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.