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Finding the Fourth Proportional to 9,343.70, 14,017.60 and 2,769.49

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Solution

The fourth proportional to 9,343.70, 14,017.60 and 2,769.49 is: 4,154.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.70 : 14,017.60 = 2,769.49 : x
  2. Step 2: Convert to fraction form
    9,343.70/14,017.60 = 2,769.49/x
  3. Step 3: Cross multiply
    9,343.70x = 14,017.60 × 2,769.49
  4. Step 4: Simplify right side
    9,343.70x = 38,821,532.94
  5. Step 5: Solve for x
    x = 38,821,532.94/9,343.70
  6. Step 6: Final answer
    x = 4,154.84

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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.