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Finding the Fourth Proportional to 6,178.45, 9,266.39 and 2,280.19

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Solution

The fourth proportional to 6,178.45, 9,266.39 and 2,280.19 is: 3,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.45 : 9,266.39 = 2,280.19 : x
  2. Step 2: Convert to fraction form
    6,178.45/9,266.39 = 2,280.19/x
  3. Step 3: Cross multiply
    6,178.45x = 9,266.39 × 2,280.19
  4. Step 4: Simplify right side
    6,178.45x = 21,129,072.08
  5. Step 5: Solve for x
    x = 21,129,072.08/6,178.45
  6. Step 6: Final answer
    x = 3,419.80

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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.