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Finding the Fourth Proportional to 6,196.48, 9,294.04 and 1,813.98

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Solution

The fourth proportional to 6,196.48, 9,294.04 and 1,813.98 is: 2,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.48 : 9,294.04 = 1,813.98 : x
  2. Step 2: Convert to fraction form
    6,196.48/9,294.04 = 1,813.98/x
  3. Step 3: Cross multiply
    6,196.48x = 9,294.04 × 1,813.98
  4. Step 4: Simplify right side
    6,196.48x = 16,859,202.68
  5. Step 5: Solve for x
    x = 16,859,202.68/6,196.48
  6. Step 6: Final answer
    x = 2,720.77

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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.