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Finding the Fourth Proportional to 6,666.24, 9,993.40 and 3,377.64

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Solution

The fourth proportional to 6,666.24, 9,993.40 and 3,377.64 is: 5,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.24 : 9,993.40 = 3,377.64 : x
  2. Step 2: Convert to fraction form
    6,666.24/9,993.40 = 3,377.64/x
  3. Step 3: Cross multiply
    6,666.24x = 9,993.40 × 3,377.64
  4. Step 4: Simplify right side
    6,666.24x = 33,754,107.58
  5. Step 5: Solve for x
    x = 33,754,107.58/6,666.24
  6. Step 6: Final answer
    x = 5,063.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.