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Finding the Fourth Proportional to 9,568.88, 14,346.02 and 6,449.67

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Solution

The fourth proportional to 9,568.88, 14,346.02 and 6,449.67 is: 9,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.88 : 14,346.02 = 6,449.67 : x
  2. Step 2: Convert to fraction form
    9,568.88/14,346.02 = 6,449.67/x
  3. Step 3: Cross multiply
    9,568.88x = 14,346.02 × 6,449.67
  4. Step 4: Simplify right side
    9,568.88x = 92,527,057.14
  5. Step 5: Solve for x
    x = 92,527,057.14/9,568.88
  6. Step 6: Final answer
    x = 9,669.59

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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.