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Finding the Fourth Proportional to 6,413.15, 8,841.91 and 5,259.09

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Solution

The fourth proportional to 6,413.15, 8,841.91 and 5,259.09 is: 7,250.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.15 : 8,841.91 = 5,259.09 : x
  2. Step 2: Convert to fraction form
    6,413.15/8,841.91 = 5,259.09/x
  3. Step 3: Cross multiply
    6,413.15x = 8,841.91 × 5,259.09
  4. Step 4: Simplify right side
    6,413.15x = 46,500,400.46
  5. Step 5: Solve for x
    x = 46,500,400.46/6,413.15
  6. Step 6: Final answer
    x = 7,250.79

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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.