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Finding the Fourth Proportional to 6,178.07, 9,268.00 and 1,794.95

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Solution

The fourth proportional to 6,178.07, 9,268.00 and 1,794.95 is: 2,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.07 : 9,268.00 = 1,794.95 : x
  2. Step 2: Convert to fraction form
    6,178.07/9,268.00 = 1,794.95/x
  3. Step 3: Cross multiply
    6,178.07x = 9,268.00 × 1,794.95
  4. Step 4: Simplify right side
    6,178.07x = 16,635,622.01
  5. Step 5: Solve for x
    x = 16,635,622.01/6,178.07
  6. Step 6: Final answer
    x = 2,692.69

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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.