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Finding the Fourth Proportional to 6,005.70, 9,008.55 and 3,413.70

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Solution

The fourth proportional to 6,005.70, 9,008.55 and 3,413.70 is: 5,120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.70 : 9,008.55 = 3,413.70 : x
  2. Step 2: Convert to fraction form
    6,005.70/9,008.55 = 3,413.70/x
  3. Step 3: Cross multiply
    6,005.70x = 9,008.55 × 3,413.70
  4. Step 4: Simplify right side
    6,005.70x = 30,752,487.14
  5. Step 5: Solve for x
    x = 30,752,487.14/6,005.70
  6. Step 6: Final answer
    x = 5,120.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.