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Finding the Fourth Proportional to 9,234.56, 12,744.42 and 5,255.84

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Solution

The fourth proportional to 9,234.56, 12,744.42 and 5,255.84 is: 7,253.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.56 : 12,744.42 = 5,255.84 : x
  2. Step 2: Convert to fraction form
    9,234.56/12,744.42 = 5,255.84/x
  3. Step 3: Cross multiply
    9,234.56x = 12,744.42 × 5,255.84
  4. Step 4: Simplify right side
    9,234.56x = 66,982,632.41
  5. Step 5: Solve for x
    x = 66,982,632.41/9,234.56
  6. Step 6: Final answer
    x = 7,253.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.