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Finding the Fourth Proportional to 6,200.52, 9,302.08 and 1,817.62

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Solution

The fourth proportional to 6,200.52, 9,302.08 and 1,817.62 is: 2,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.52 : 9,302.08 = 1,817.62 : x
  2. Step 2: Convert to fraction form
    6,200.52/9,302.08 = 1,817.62/x
  3. Step 3: Cross multiply
    6,200.52x = 9,302.08 × 1,817.62
  4. Step 4: Simplify right side
    6,200.52x = 16,907,646.65
  5. Step 5: Solve for x
    x = 16,907,646.65/6,200.52
  6. Step 6: Final answer
    x = 2,726.81

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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.