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Finding the Fourth Proportional to 6,413.43, 9,620.30 and 2,714.99

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Solution

The fourth proportional to 6,413.43, 9,620.30 and 2,714.99 is: 4,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.43 : 9,620.30 = 2,714.99 : x
  2. Step 2: Convert to fraction form
    6,413.43/9,620.30 = 2,714.99/x
  3. Step 3: Cross multiply
    6,413.43x = 9,620.30 × 2,714.99
  4. Step 4: Simplify right side
    6,413.43x = 26,119,018.30
  5. Step 5: Solve for x
    x = 26,119,018.30/6,413.43
  6. Step 6: Final answer
    x = 4,072.55

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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.