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Finding the Fourth Proportional to 6,980.68, 9,633.63 and 3,996.10

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Solution

The fourth proportional to 6,980.68, 9,633.63 and 3,996.10 is: 5,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.68 : 9,633.63 = 3,996.10 : x
  2. Step 2: Convert to fraction form
    6,980.68/9,633.63 = 3,996.10/x
  3. Step 3: Cross multiply
    6,980.68x = 9,633.63 × 3,996.10
  4. Step 4: Simplify right side
    6,980.68x = 38,496,948.84
  5. Step 5: Solve for x
    x = 38,496,948.84/6,980.68
  6. Step 6: Final answer
    x = 5,514.78

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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.