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Finding the Fourth Proportional to 9,847.26, 14,771.19 and 3,274.11

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Solution

The fourth proportional to 9,847.26, 14,771.19 and 3,274.11 is: 4,911.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.26 : 14,771.19 = 3,274.11 : x
  2. Step 2: Convert to fraction form
    9,847.26/14,771.19 = 3,274.11/x
  3. Step 3: Cross multiply
    9,847.26x = 14,771.19 × 3,274.11
  4. Step 4: Simplify right side
    9,847.26x = 48,362,500.89
  5. Step 5: Solve for x
    x = 48,362,500.89/9,847.26
  6. Step 6: Final answer
    x = 4,911.26

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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.