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Finding the Fourth Proportional to 9,841.42, 14,764.02 and 3,179.70

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Solution

The fourth proportional to 9,841.42, 14,764.02 and 3,179.70 is: 4,770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.42 : 14,764.02 = 3,179.70 : x
  2. Step 2: Convert to fraction form
    9,841.42/14,764.02 = 3,179.70/x
  3. Step 3: Cross multiply
    9,841.42x = 14,764.02 × 3,179.70
  4. Step 4: Simplify right side
    9,841.42x = 46,945,154.39
  5. Step 5: Solve for x
    x = 46,945,154.39/9,841.42
  6. Step 6: Final answer
    x = 4,770.16

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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.