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Finding the Fourth Proportional to 6,185.77, 9,280.19 and 3,408.62

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Solution

The fourth proportional to 6,185.77, 9,280.19 and 3,408.62 is: 5,113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.77 : 9,280.19 = 3,408.62 : x
  2. Step 2: Convert to fraction form
    6,185.77/9,280.19 = 3,408.62/x
  3. Step 3: Cross multiply
    6,185.77x = 9,280.19 × 3,408.62
  4. Step 4: Simplify right side
    6,185.77x = 31,632,641.24
  5. Step 5: Solve for x
    x = 31,632,641.24/6,185.77
  6. Step 6: Final answer
    x = 5,113.78

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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.