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Finding the Fourth Proportional to 6,163.95, 9,187.38 and 5,813.70

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Solution

The fourth proportional to 6,163.95, 9,187.38 and 5,813.70 is: 8,665.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.95 : 9,187.38 = 5,813.70 : x
  2. Step 2: Convert to fraction form
    6,163.95/9,187.38 = 5,813.70/x
  3. Step 3: Cross multiply
    6,163.95x = 9,187.38 × 5,813.70
  4. Step 4: Simplify right side
    6,163.95x = 53,412,671.11
  5. Step 5: Solve for x
    x = 53,412,671.11/6,163.95
  6. Step 6: Final answer
    x = 8,665.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.