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Finding the Fourth Proportional to 6,770.52, 9,345.90 and 4,413.24

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Solution

The fourth proportional to 6,770.52, 9,345.90 and 4,413.24 is: 6,091.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.52 : 9,345.90 = 4,413.24 : x
  2. Step 2: Convert to fraction form
    6,770.52/9,345.90 = 4,413.24/x
  3. Step 3: Cross multiply
    6,770.52x = 9,345.90 × 4,413.24
  4. Step 4: Simplify right side
    6,770.52x = 41,245,699.72
  5. Step 5: Solve for x
    x = 41,245,699.72/6,770.52
  6. Step 6: Final answer
    x = 6,091.95

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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.