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Finding the Fourth Proportional to 9,783.08, 14,673.11 and 3,209.27

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Solution

The fourth proportional to 9,783.08, 14,673.11 and 3,209.27 is: 4,813.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.08 : 14,673.11 = 3,209.27 : x
  2. Step 2: Convert to fraction form
    9,783.08/14,673.11 = 3,209.27/x
  3. Step 3: Cross multiply
    9,783.08x = 14,673.11 × 3,209.27
  4. Step 4: Simplify right side
    9,783.08x = 47,089,906.39
  5. Step 5: Solve for x
    x = 47,089,906.39/9,783.08
  6. Step 6: Final answer
    x = 4,813.41

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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.