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Finding the Fourth Proportional to 6,097.05, 8,413.94 and 3,302.55

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Solution

The fourth proportional to 6,097.05, 8,413.94 and 3,302.55 is: 4,557.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.05 : 8,413.94 = 3,302.55 : x
  2. Step 2: Convert to fraction form
    6,097.05/8,413.94 = 3,302.55/x
  3. Step 3: Cross multiply
    6,097.05x = 8,413.94 × 3,302.55
  4. Step 4: Simplify right side
    6,097.05x = 27,787,465.80
  5. Step 5: Solve for x
    x = 27,787,465.80/6,097.05
  6. Step 6: Final answer
    x = 4,557.53

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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.