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Finding the Fourth Proportional to 9,847.25, 14,767.68 and 3,271.67

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Solution

The fourth proportional to 9,847.25, 14,767.68 and 3,271.67 is: 4,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.25 : 14,767.68 = 3,271.67 : x
  2. Step 2: Convert to fraction form
    9,847.25/14,767.68 = 3,271.67/x
  3. Step 3: Cross multiply
    9,847.25x = 14,767.68 × 3,271.67
  4. Step 4: Simplify right side
    9,847.25x = 48,314,975.63
  5. Step 5: Solve for x
    x = 48,314,975.63/9,847.25
  6. Step 6: Final answer
    x = 4,906.44

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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.