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Finding the Fourth Proportional to 6,980.67, 9,633.20 and 3,837.15

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Solution

The fourth proportional to 6,980.67, 9,633.20 and 3,837.15 is: 5,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.67 : 9,633.20 = 3,837.15 : x
  2. Step 2: Convert to fraction form
    6,980.67/9,633.20 = 3,837.15/x
  3. Step 3: Cross multiply
    6,980.67x = 9,633.20 × 3,837.15
  4. Step 4: Simplify right side
    6,980.67x = 36,964,014.19
  5. Step 5: Solve for x
    x = 36,964,014.19/6,980.67
  6. Step 6: Final answer
    x = 5,295.20

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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.