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Finding the Fourth Proportional to 6,413.14, 8,845.23 and 4,427.02

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Solution

The fourth proportional to 6,413.14, 8,845.23 and 4,427.02 is: 6,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.14 : 8,845.23 = 4,427.02 : x
  2. Step 2: Convert to fraction form
    6,413.14/8,845.23 = 4,427.02/x
  3. Step 3: Cross multiply
    6,413.14x = 8,845.23 × 4,427.02
  4. Step 4: Simplify right side
    6,413.14x = 39,158,010.11
  5. Step 5: Solve for x
    x = 39,158,010.11/6,413.14
  6. Step 6: Final answer
    x = 6,105.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.