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Finding the Fourth Proportional to 9,568.74, 14,353.11 and 5,213.88

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Solution

The fourth proportional to 9,568.74, 14,353.11 and 5,213.88 is: 7,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.74 : 14,353.11 = 5,213.88 : x
  2. Step 2: Convert to fraction form
    9,568.74/14,353.11 = 5,213.88/x
  3. Step 3: Cross multiply
    9,568.74x = 14,353.11 × 5,213.88
  4. Step 4: Simplify right side
    9,568.74x = 74,835,321.40
  5. Step 5: Solve for x
    x = 74,835,321.40/9,568.74
  6. Step 6: Final answer
    x = 7,820.81

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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.