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Finding the Fourth Proportional to 6,185.87, 9,269.08 and 4,783.73

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Solution

The fourth proportional to 6,185.87, 9,269.08 and 4,783.73 is: 7,168.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.87 : 9,269.08 = 4,783.73 : x
  2. Step 2: Convert to fraction form
    6,185.87/9,269.08 = 4,783.73/x
  3. Step 3: Cross multiply
    6,185.87x = 9,269.08 × 4,783.73
  4. Step 4: Simplify right side
    6,185.87x = 44,340,717.76
  5. Step 5: Solve for x
    x = 44,340,717.76/6,185.87
  6. Step 6: Final answer
    x = 7,168.06

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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.