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Finding the Fourth Proportional to 9,850.38, 14,770.64 and 3,274.26

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Solution

The fourth proportional to 9,850.38, 14,770.64 and 3,274.26 is: 4,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.38 : 14,770.64 = 3,274.26 : x
  2. Step 2: Convert to fraction form
    9,850.38/14,770.64 = 3,274.26/x
  3. Step 3: Cross multiply
    9,850.38x = 14,770.64 × 3,274.26
  4. Step 4: Simplify right side
    9,850.38x = 48,362,899.36
  5. Step 5: Solve for x
    x = 48,362,899.36/9,850.38
  6. Step 6: Final answer
    x = 4,909.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.