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Finding the Fourth Proportional to 9,205.44, 13,800.66 and 4,278.18

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Solution

The fourth proportional to 9,205.44, 13,800.66 and 4,278.18 is: 6,413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.44 : 13,800.66 = 4,278.18 : x
  2. Step 2: Convert to fraction form
    9,205.44/13,800.66 = 4,278.18/x
  3. Step 3: Cross multiply
    9,205.44x = 13,800.66 × 4,278.18
  4. Step 4: Simplify right side
    9,205.44x = 59,041,707.60
  5. Step 5: Solve for x
    x = 59,041,707.60/9,205.44
  6. Step 6: Final answer
    x = 6,413.78

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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.