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Finding the Fourth Proportional to 9,783.11, 14,676.49 and 3,211.18

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Solution

The fourth proportional to 9,783.11, 14,676.49 and 3,211.18 is: 4,817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.11 : 14,676.49 = 3,211.18 : x
  2. Step 2: Convert to fraction form
    9,783.11/14,676.49 = 3,211.18/x
  3. Step 3: Cross multiply
    9,783.11x = 14,676.49 × 3,211.18
  4. Step 4: Simplify right side
    9,783.11x = 47,128,777.78
  5. Step 5: Solve for x
    x = 47,128,777.78/9,783.11
  6. Step 6: Final answer
    x = 4,817.36

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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.