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Finding the Fourth Proportional to 6,193.19, 9,290.32 and 1,811.09

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Solution

The fourth proportional to 6,193.19, 9,290.32 and 1,811.09 is: 2,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.19 : 9,290.32 = 1,811.09 : x
  2. Step 2: Convert to fraction form
    6,193.19/9,290.32 = 1,811.09/x
  3. Step 3: Cross multiply
    6,193.19x = 9,290.32 × 1,811.09
  4. Step 4: Simplify right side
    6,193.19x = 16,825,554.67
  5. Step 5: Solve for x
    x = 16,825,554.67/6,193.19
  6. Step 6: Final answer
    x = 2,716.79

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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.