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Finding the Fourth Proportional to 6,200.65, 9,284.52 and 3,270.07

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Solution

The fourth proportional to 6,200.65, 9,284.52 and 3,270.07 is: 4,896.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.65 : 9,284.52 = 3,270.07 : x
  2. Step 2: Convert to fraction form
    6,200.65/9,284.52 = 3,270.07/x
  3. Step 3: Cross multiply
    6,200.65x = 9,284.52 × 3,270.07
  4. Step 4: Simplify right side
    6,200.65x = 30,361,054.18
  5. Step 5: Solve for x
    x = 30,361,054.18/6,200.65
  6. Step 6: Final answer
    x = 4,896.43

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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.