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Finding the Fourth Proportional to 9,676.63, 14,516.99 and 3,107.43

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Solution

The fourth proportional to 9,676.63, 14,516.99 and 3,107.43 is: 4,661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.63 : 14,516.99 = 3,107.43 : x
  2. Step 2: Convert to fraction form
    9,676.63/14,516.99 = 3,107.43/x
  3. Step 3: Cross multiply
    9,676.63x = 14,516.99 × 3,107.43
  4. Step 4: Simplify right side
    9,676.63x = 45,110,526.35
  5. Step 5: Solve for x
    x = 45,110,526.35/9,676.63
  6. Step 6: Final answer
    x = 4,661.80

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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.