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Finding the Fourth Proportional to 9,847.64, 14,771.54 and 6,939

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Solution

The fourth proportional to 9,847.64, 14,771.54 and 6,939 is: 10,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.64 : 14,771.54 = 6,939 : x
  2. Step 2: Convert to fraction form
    9,847.64/14,771.54 = 6,939/x
  3. Step 3: Cross multiply
    9,847.64x = 14,771.54 × 6,939
  4. Step 4: Simplify right side
    9,847.64x = 102,499,716.06
  5. Step 5: Solve for x
    x = 102,499,716.06/9,847.64
  6. Step 6: Final answer
    x = 10,408.56

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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.