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Finding the Fourth Proportional to 6,185.49, 9,276.95 and 2,183.42

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Solution

The fourth proportional to 6,185.49, 9,276.95 and 2,183.42 is: 3,274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.49 : 9,276.95 = 2,183.42 : x
  2. Step 2: Convert to fraction form
    6,185.49/9,276.95 = 2,183.42/x
  3. Step 3: Cross multiply
    6,185.49x = 9,276.95 × 2,183.42
  4. Step 4: Simplify right side
    6,185.49x = 20,255,437.24
  5. Step 5: Solve for x
    x = 20,255,437.24/6,185.49
  6. Step 6: Final answer
    x = 3,274.67

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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.