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Finding the Fourth Proportional to 9,704.86, 14,557.32 and 3,861.44

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Solution

The fourth proportional to 9,704.86, 14,557.32 and 3,861.44 is: 5,792.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.86 : 14,557.32 = 3,861.44 : x
  2. Step 2: Convert to fraction form
    9,704.86/14,557.32 = 3,861.44/x
  3. Step 3: Cross multiply
    9,704.86x = 14,557.32 × 3,861.44
  4. Step 4: Simplify right side
    9,704.86x = 56,212,217.74
  5. Step 5: Solve for x
    x = 56,212,217.74/9,704.86
  6. Step 6: Final answer
    x = 5,792.17

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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.