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Finding the Fourth Proportional to 9,321.54, 12,863.20 and 5,129.80

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Solution

The fourth proportional to 9,321.54, 12,863.20 and 5,129.80 is: 7,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.54 : 12,863.20 = 5,129.80 : x
  2. Step 2: Convert to fraction form
    9,321.54/12,863.20 = 5,129.80/x
  3. Step 3: Cross multiply
    9,321.54x = 12,863.20 × 5,129.80
  4. Step 4: Simplify right side
    9,321.54x = 65,985,643.36
  5. Step 5: Solve for x
    x = 65,985,643.36/9,321.54
  6. Step 6: Final answer
    x = 7,078.83

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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.