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Finding the Fourth Proportional to 9,321.76, 12,863.76 and 5,129.92

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Solution

The fourth proportional to 9,321.76, 12,863.76 and 5,129.92 is: 7,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.76 : 12,863.76 = 5,129.92 : x
  2. Step 2: Convert to fraction form
    9,321.76/12,863.76 = 5,129.92/x
  3. Step 3: Cross multiply
    9,321.76x = 12,863.76 × 5,129.92
  4. Step 4: Simplify right side
    9,321.76x = 65,990,059.70
  5. Step 5: Solve for x
    x = 65,990,059.70/9,321.76
  6. Step 6: Final answer
    x = 7,079.14

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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.