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Finding the Fourth Proportional to 7,208.43, 9,947.76 and 4,413.93

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Solution

The fourth proportional to 7,208.43, 9,947.76 and 4,413.93 is: 6,091.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.43 : 9,947.76 = 4,413.93 : x
  2. Step 2: Convert to fraction form
    7,208.43/9,947.76 = 4,413.93/x
  3. Step 3: Cross multiply
    7,208.43x = 9,947.76 × 4,413.93
  4. Step 4: Simplify right side
    7,208.43x = 43,908,716.30
  5. Step 5: Solve for x
    x = 43,908,716.30/7,208.43
  6. Step 6: Final answer
    x = 6,091.30

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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.