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Finding the Fourth Proportional to 6,193.71, 9,286.25 and 2,297.07

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Solution

The fourth proportional to 6,193.71, 9,286.25 and 2,297.07 is: 3,444.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.71 : 9,286.25 = 2,297.07 : x
  2. Step 2: Convert to fraction form
    6,193.71/9,286.25 = 2,297.07/x
  3. Step 3: Cross multiply
    6,193.71x = 9,286.25 × 2,297.07
  4. Step 4: Simplify right side
    6,193.71x = 21,331,154.80
  5. Step 5: Solve for x
    x = 21,331,154.80/6,193.71
  6. Step 6: Final answer
    x = 3,444.00

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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.