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Finding the Fourth Proportional to 9,408.56, 14,115.48 and 2,834.72

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Solution

The fourth proportional to 9,408.56, 14,115.48 and 2,834.72 is: 4,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.56 : 14,115.48 = 2,834.72 : x
  2. Step 2: Convert to fraction form
    9,408.56/14,115.48 = 2,834.72/x
  3. Step 3: Cross multiply
    9,408.56x = 14,115.48 × 2,834.72
  4. Step 4: Simplify right side
    9,408.56x = 40,013,433.47
  5. Step 5: Solve for x
    x = 40,013,433.47/9,408.56
  6. Step 6: Final answer
    x = 4,252.88

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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.