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Finding the Fourth Proportional to 9,855.37, 14,783.20 and 3,281.56

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Solution

The fourth proportional to 9,855.37, 14,783.20 and 3,281.56 is: 4,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.37 : 14,783.20 = 3,281.56 : x
  2. Step 2: Convert to fraction form
    9,855.37/14,783.20 = 3,281.56/x
  3. Step 3: Cross multiply
    9,855.37x = 14,783.20 × 3,281.56
  4. Step 4: Simplify right side
    9,855.37x = 48,511,883.88
  5. Step 5: Solve for x
    x = 48,511,883.88/9,855.37
  6. Step 6: Final answer
    x = 4,922.38

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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.