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Finding the Fourth Proportional to 6,195.42, 9,293.31 and 1,813.23

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Solution

The fourth proportional to 6,195.42, 9,293.31 and 1,813.23 is: 2,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.42 : 9,293.31 = 1,813.23 : x
  2. Step 2: Convert to fraction form
    6,195.42/9,293.31 = 1,813.23/x
  3. Step 3: Cross multiply
    6,195.42x = 9,293.31 × 1,813.23
  4. Step 4: Simplify right side
    6,195.42x = 16,850,908.49
  5. Step 5: Solve for x
    x = 16,850,908.49/6,195.42
  6. Step 6: Final answer
    x = 2,719.90

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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.