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Finding the Fourth Proportional to 6,413.34, 9,621.09 and 2,950.50

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Solution

The fourth proportional to 6,413.34, 9,621.09 and 2,950.50 is: 4,426.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.34 : 9,621.09 = 2,950.50 : x
  2. Step 2: Convert to fraction form
    6,413.34/9,621.09 = 2,950.50/x
  3. Step 3: Cross multiply
    6,413.34x = 9,621.09 × 2,950.50
  4. Step 4: Simplify right side
    6,413.34x = 28,387,026.05
  5. Step 5: Solve for x
    x = 28,387,026.05/6,413.34
  6. Step 6: Final answer
    x = 4,426.25

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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.