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Finding the Fourth Proportional to 6,177.69, 9,268.07 and 1,795.19

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Solution

The fourth proportional to 6,177.69, 9,268.07 and 1,795.19 is: 2,693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.69 : 9,268.07 = 1,795.19 : x
  2. Step 2: Convert to fraction form
    6,177.69/9,268.07 = 1,795.19/x
  3. Step 3: Cross multiply
    6,177.69x = 9,268.07 × 1,795.19
  4. Step 4: Simplify right side
    6,177.69x = 16,637,891.27
  5. Step 5: Solve for x
    x = 16,637,891.27/6,177.69
  6. Step 6: Final answer
    x = 2,693.22

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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.