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Finding the Fourth Proportional to 9,704.96, 14,558.05 and 3,861.42

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Solution

The fourth proportional to 9,704.96, 14,558.05 and 3,861.42 is: 5,792.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.96 : 14,558.05 = 3,861.42 : x
  2. Step 2: Convert to fraction form
    9,704.96/14,558.05 = 3,861.42/x
  3. Step 3: Cross multiply
    9,704.96x = 14,558.05 × 3,861.42
  4. Step 4: Simplify right side
    9,704.96x = 56,214,788.41
  5. Step 5: Solve for x
    x = 56,214,788.41/9,704.96
  6. Step 6: Final answer
    x = 5,792.37

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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.