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Finding the Fourth Proportional to 6,197.15, 9,295.71 and 2,910.23

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Solution

The fourth proportional to 6,197.15, 9,295.71 and 2,910.23 is: 4,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.15 : 9,295.71 = 2,910.23 : x
  2. Step 2: Convert to fraction form
    6,197.15/9,295.71 = 2,910.23/x
  3. Step 3: Cross multiply
    6,197.15x = 9,295.71 × 2,910.23
  4. Step 4: Simplify right side
    6,197.15x = 27,052,654.11
  5. Step 5: Solve for x
    x = 27,052,654.11/6,197.15
  6. Step 6: Final answer
    x = 4,365.34

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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.