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Finding the Fourth Proportional to 9,205.27, 13,810.20 and 4,273.90

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Solution

The fourth proportional to 9,205.27, 13,810.20 and 4,273.90 is: 6,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.27 : 13,810.20 = 4,273.90 : x
  2. Step 2: Convert to fraction form
    9,205.27/13,810.20 = 4,273.90/x
  3. Step 3: Cross multiply
    9,205.27x = 13,810.20 × 4,273.90
  4. Step 4: Simplify right side
    9,205.27x = 59,023,413.78
  5. Step 5: Solve for x
    x = 59,023,413.78/9,205.27
  6. Step 6: Final answer
    x = 6,411.92

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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.