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Finding the Fourth Proportional to 6,297.75, 9,443.49 and 3,666.13

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Solution

The fourth proportional to 6,297.75, 9,443.49 and 3,666.13 is: 5,497.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.75 : 9,443.49 = 3,666.13 : x
  2. Step 2: Convert to fraction form
    6,297.75/9,443.49 = 3,666.13/x
  3. Step 3: Cross multiply
    6,297.75x = 9,443.49 × 3,666.13
  4. Step 4: Simplify right side
    6,297.75x = 34,621,061.99
  5. Step 5: Solve for x
    x = 34,621,061.99/6,297.75
  6. Step 6: Final answer
    x = 5,497.37

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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.