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Finding the Fourth Proportional to 6,980.09, 9,632.36 and 3,793.31

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Solution

The fourth proportional to 6,980.09, 9,632.36 and 3,793.31 is: 5,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.09 : 9,632.36 = 3,793.31 : x
  2. Step 2: Convert to fraction form
    6,980.09/9,632.36 = 3,793.31/x
  3. Step 3: Cross multiply
    6,980.09x = 9,632.36 × 3,793.31
  4. Step 4: Simplify right side
    6,980.09x = 36,538,460.38
  5. Step 5: Solve for x
    x = 36,538,460.38/6,980.09
  6. Step 6: Final answer
    x = 5,234.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.