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Finding the Fourth Proportional to 6,980.34, 9,633.65 and 3,996.50

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Solution

The fourth proportional to 6,980.34, 9,633.65 and 3,996.50 is: 5,515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.34 : 9,633.65 = 3,996.50 : x
  2. Step 2: Convert to fraction form
    6,980.34/9,633.65 = 3,996.50/x
  3. Step 3: Cross multiply
    6,980.34x = 9,633.65 × 3,996.50
  4. Step 4: Simplify right side
    6,980.34x = 38,500,882.23
  5. Step 5: Solve for x
    x = 38,500,882.23/6,980.34
  6. Step 6: Final answer
    x = 5,515.62

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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.