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Finding the Fourth Proportional to 9,850.64, 14,769.02 and 3,609.84

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Solution

The fourth proportional to 9,850.64, 14,769.02 and 3,609.84 is: 5,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.64 : 14,769.02 = 3,609.84 : x
  2. Step 2: Convert to fraction form
    9,850.64/14,769.02 = 3,609.84/x
  3. Step 3: Cross multiply
    9,850.64x = 14,769.02 × 3,609.84
  4. Step 4: Simplify right side
    9,850.64x = 53,313,799.16
  5. Step 5: Solve for x
    x = 53,313,799.16/9,850.64
  6. Step 6: Final answer
    x = 5,412.22

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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.