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Finding the Fourth Proportional to 6,278.95, 9,405.87 and 3,778.77

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Solution

The fourth proportional to 6,278.95, 9,405.87 and 3,778.77 is: 5,660.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.95 : 9,405.87 = 3,778.77 : x
  2. Step 2: Convert to fraction form
    6,278.95/9,405.87 = 3,778.77/x
  3. Step 3: Cross multiply
    6,278.95x = 9,405.87 × 3,778.77
  4. Step 4: Simplify right side
    6,278.95x = 35,542,619.38
  5. Step 5: Solve for x
    x = 35,542,619.38/6,278.95
  6. Step 6: Final answer
    x = 5,660.60

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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.