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Finding the Fourth Proportional to 9,676.53, 14,520.33 and 8,052.75

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Solution

The fourth proportional to 9,676.53, 14,520.33 and 8,052.75 is: 12,083.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.53 : 14,520.33 = 8,052.75 : x
  2. Step 2: Convert to fraction form
    9,676.53/14,520.33 = 8,052.75/x
  3. Step 3: Cross multiply
    9,676.53x = 14,520.33 × 8,052.75
  4. Step 4: Simplify right side
    9,676.53x = 116,928,587.41
  5. Step 5: Solve for x
    x = 116,928,587.41/9,676.53
  6. Step 6: Final answer
    x = 12,083.73

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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.