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Finding the Fourth Proportional to 6,413.77, 9,620.66 and 4,010.23

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Solution

The fourth proportional to 6,413.77, 9,620.66 and 4,010.23 is: 6,015.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.77 : 9,620.66 = 4,010.23 : x
  2. Step 2: Convert to fraction form
    6,413.77/9,620.66 = 4,010.23/x
  3. Step 3: Cross multiply
    6,413.77x = 9,620.66 × 4,010.23
  4. Step 4: Simplify right side
    6,413.77x = 38,581,059.35
  5. Step 5: Solve for x
    x = 38,581,059.35/6,413.77
  6. Step 6: Final answer
    x = 6,015.35

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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.