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Finding the Fourth Proportional to 6,980.26, 9,632.78 and 3,836.66

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Solution

The fourth proportional to 6,980.26, 9,632.78 and 3,836.66 is: 5,294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.26 : 9,632.78 = 3,836.66 : x
  2. Step 2: Convert to fraction form
    6,980.26/9,632.78 = 3,836.66/x
  3. Step 3: Cross multiply
    6,980.26x = 9,632.78 × 3,836.66
  4. Step 4: Simplify right side
    6,980.26x = 36,957,701.71
  5. Step 5: Solve for x
    x = 36,957,701.71/6,980.26
  6. Step 6: Final answer
    x = 5,294.60

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