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Finding the Fourth Proportional to 6,980.86, 9,633.66 and 3,836.98

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Solution

The fourth proportional to 6,980.86, 9,633.66 and 3,836.98 is: 5,295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.86 : 9,633.66 = 3,836.98 : x
  2. Step 2: Convert to fraction form
    6,980.86/9,633.66 = 3,836.98/x
  3. Step 3: Cross multiply
    6,980.86x = 9,633.66 × 3,836.98
  4. Step 4: Simplify right side
    6,980.86x = 36,964,160.75
  5. Step 5: Solve for x
    x = 36,964,160.75/6,980.86
  6. Step 6: Final answer
    x = 5,295.07

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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.