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Finding the Fourth Proportional to 6,206.85, 9,302.07 and 3,388.47

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Solution

The fourth proportional to 6,206.85, 9,302.07 and 3,388.47 is: 5,078.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.85 : 9,302.07 = 3,388.47 : x
  2. Step 2: Convert to fraction form
    6,206.85/9,302.07 = 3,388.47/x
  3. Step 3: Cross multiply
    6,206.85x = 9,302.07 × 3,388.47
  4. Step 4: Simplify right side
    6,206.85x = 31,519,785.13
  5. Step 5: Solve for x
    x = 31,519,785.13/6,206.85
  6. Step 6: Final answer
    x = 5,078.23

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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.