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Finding the Fourth Proportional to 6,097.72, 8,413.52 and 3,973.04

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Solution

The fourth proportional to 6,097.72, 8,413.52 and 3,973.04 is: 5,481.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.72 : 8,413.52 = 3,973.04 : x
  2. Step 2: Convert to fraction form
    6,097.72/8,413.52 = 3,973.04/x
  3. Step 3: Cross multiply
    6,097.72x = 8,413.52 × 3,973.04
  4. Step 4: Simplify right side
    6,097.72x = 33,427,251.50
  5. Step 5: Solve for x
    x = 33,427,251.50/6,097.72
  6. Step 6: Final answer
    x = 5,481.93

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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.