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Finding the Fourth Proportional to 6,413.85, 9,620.37 and 2,034.45

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Solution

The fourth proportional to 6,413.85, 9,620.37 and 2,034.45 is: 3,051.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.85 : 9,620.37 = 2,034.45 : x
  2. Step 2: Convert to fraction form
    6,413.85/9,620.37 = 2,034.45/x
  3. Step 3: Cross multiply
    6,413.85x = 9,620.37 × 2,034.45
  4. Step 4: Simplify right side
    6,413.85x = 19,572,161.75
  5. Step 5: Solve for x
    x = 19,572,161.75/6,413.85
  6. Step 6: Final answer
    x = 3,051.55

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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.