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Finding the Fourth Proportional to 6,117.93, 9,179.96 and 4,561.05

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Solution

The fourth proportional to 6,117.93, 9,179.96 and 4,561.05 is: 6,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.93 : 9,179.96 = 4,561.05 : x
  2. Step 2: Convert to fraction form
    6,117.93/9,179.96 = 4,561.05/x
  3. Step 3: Cross multiply
    6,117.93x = 9,179.96 × 4,561.05
  4. Step 4: Simplify right side
    6,117.93x = 41,870,233.75
  5. Step 5: Solve for x
    x = 41,870,233.75/6,117.93
  6. Step 6: Final answer
    x = 6,843.86

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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.