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Finding the Fourth Proportional to 6,672.24, 9,206.68 and 3,982.64

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Solution

The fourth proportional to 6,672.24, 9,206.68 and 3,982.64 is: 5,495.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,672.24 : 9,206.68 = 3,982.64 : x
  2. Step 2: Convert to fraction form
    6,672.24/9,206.68 = 3,982.64/x
  3. Step 3: Cross multiply
    6,672.24x = 9,206.68 × 3,982.64
  4. Step 4: Simplify right side
    6,672.24x = 36,666,892.04
  5. Step 5: Solve for x
    x = 36,666,892.04/6,672.24
  6. Step 6: Final answer
    x = 5,495.44

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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.