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Finding the Fourth Proportional to 6,137.25, 9,193.55 and 4,659.09

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Solution

The fourth proportional to 6,137.25, 9,193.55 and 4,659.09 is: 6,979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.25 : 9,193.55 = 4,659.09 : x
  2. Step 2: Convert to fraction form
    6,137.25/9,193.55 = 4,659.09/x
  3. Step 3: Cross multiply
    6,137.25x = 9,193.55 × 4,659.09
  4. Step 4: Simplify right side
    6,137.25x = 42,833,553.57
  5. Step 5: Solve for x
    x = 42,833,553.57/6,137.25
  6. Step 6: Final answer
    x = 6,979.27

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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.