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Finding the Fourth Proportional to 6,276.96, 9,413.85 and 2,580.21

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Solution

The fourth proportional to 6,276.96, 9,413.85 and 2,580.21 is: 3,869.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.96 : 9,413.85 = 2,580.21 : x
  2. Step 2: Convert to fraction form
    6,276.96/9,413.85 = 2,580.21/x
  3. Step 3: Cross multiply
    6,276.96x = 9,413.85 × 2,580.21
  4. Step 4: Simplify right side
    6,276.96x = 24,289,709.91
  5. Step 5: Solve for x
    x = 24,289,709.91/6,276.96
  6. Step 6: Final answer
    x = 3,869.66

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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.