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Finding the Fourth Proportional to 6,980.19, 9,632.26 and 3,836.38

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Solution

The fourth proportional to 6,980.19, 9,632.26 and 3,836.38 is: 5,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.19 : 9,632.26 = 3,836.38 : x
  2. Step 2: Convert to fraction form
    6,980.19/9,632.26 = 3,836.38/x
  3. Step 3: Cross multiply
    6,980.19x = 9,632.26 × 3,836.38
  4. Step 4: Simplify right side
    6,980.19x = 36,952,975.95
  5. Step 5: Solve for x
    x = 36,952,975.95/6,980.19
  6. Step 6: Final answer
    x = 5,293.98

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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.