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Finding the Fourth Proportional to 6,980.61, 9,633.01 and 3,996.24

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Solution

The fourth proportional to 6,980.61, 9,633.01 and 3,996.24 is: 5,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.61 : 9,633.01 = 3,996.24 : x
  2. Step 2: Convert to fraction form
    6,980.61/9,633.01 = 3,996.24/x
  3. Step 3: Cross multiply
    6,980.61x = 9,633.01 × 3,996.24
  4. Step 4: Simplify right side
    6,980.61x = 38,495,819.88
  5. Step 5: Solve for x
    x = 38,495,819.88/6,980.61
  6. Step 6: Final answer
    x = 5,514.68

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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.