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Finding the Fourth Proportional to 9,321.60, 12,863.94 and 5,072.80

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Solution

The fourth proportional to 9,321.60, 12,863.94 and 5,072.80 is: 7,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.60 : 12,863.94 = 5,072.80 : x
  2. Step 2: Convert to fraction form
    9,321.60/12,863.94 = 5,072.80/x
  3. Step 3: Cross multiply
    9,321.60x = 12,863.94 × 5,072.80
  4. Step 4: Simplify right side
    9,321.60x = 65,256,194.83
  5. Step 5: Solve for x
    x = 65,256,194.83/9,321.60
  6. Step 6: Final answer
    x = 7,000.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.