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Finding the Fourth Proportional to 9,314.44, 13,971.69 and 8,847.27

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Solution

The fourth proportional to 9,314.44, 13,971.69 and 8,847.27 is: 13,270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.44 : 13,971.69 = 8,847.27 : x
  2. Step 2: Convert to fraction form
    9,314.44/13,971.69 = 8,847.27/x
  3. Step 3: Cross multiply
    9,314.44x = 13,971.69 × 8,847.27
  4. Step 4: Simplify right side
    9,314.44x = 123,611,313.79
  5. Step 5: Solve for x
    x = 123,611,313.79/9,314.44
  6. Step 6: Final answer
    x = 13,270.94

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1.5x scale

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.