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Finding the Fourth Proportional to 6,269.14, 9,404.04 and 3,309.40

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Solution

The fourth proportional to 6,269.14, 9,404.04 and 3,309.40 is: 4,964.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.14 : 9,404.04 = 3,309.40 : x
  2. Step 2: Convert to fraction form
    6,269.14/9,404.04 = 3,309.40/x
  3. Step 3: Cross multiply
    6,269.14x = 9,404.04 × 3,309.40
  4. Step 4: Simplify right side
    6,269.14x = 31,121,729.98
  5. Step 5: Solve for x
    x = 31,121,729.98/6,269.14
  6. Step 6: Final answer
    x = 4,964.27

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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.