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Finding the Fourth Proportional to 6,200.26, 9,301.32 and 1,817.14

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Solution

The fourth proportional to 6,200.26, 9,301.32 and 1,817.14 is: 2,725.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.26 : 9,301.32 = 1,817.14 : x
  2. Step 2: Convert to fraction form
    6,200.26/9,301.32 = 1,817.14/x
  3. Step 3: Cross multiply
    6,200.26x = 9,301.32 × 1,817.14
  4. Step 4: Simplify right side
    6,200.26x = 16,901,800.62
  5. Step 5: Solve for x
    x = 16,901,800.62/6,200.26
  6. Step 6: Final answer
    x = 2,725.98

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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.