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Finding the Fourth Proportional to 9,858.12, 14,783.64 and 3,282.54

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Solution

The fourth proportional to 9,858.12, 14,783.64 and 3,282.54 is: 4,922.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.12 : 14,783.64 = 3,282.54 : x
  2. Step 2: Convert to fraction form
    9,858.12/14,783.64 = 3,282.54/x
  3. Step 3: Cross multiply
    9,858.12x = 14,783.64 × 3,282.54
  4. Step 4: Simplify right side
    9,858.12x = 48,527,889.65
  5. Step 5: Solve for x
    x = 48,527,889.65/9,858.12
  6. Step 6: Final answer
    x = 4,922.63

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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.