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Finding the Fourth Proportional to 6,427.42, 8,870.79 and 4,069.78

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Solution

The fourth proportional to 6,427.42, 8,870.79 and 4,069.78 is: 5,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.42 : 8,870.79 = 4,069.78 : x
  2. Step 2: Convert to fraction form
    6,427.42/8,870.79 = 4,069.78/x
  3. Step 3: Cross multiply
    6,427.42x = 8,870.79 × 4,069.78
  4. Step 4: Simplify right side
    6,427.42x = 36,102,163.73
  5. Step 5: Solve for x
    x = 36,102,163.73/6,427.42
  6. Step 6: Final answer
    x = 5,616.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.