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Finding the Fourth Proportional to 9,300.42, 12,826.89 and 6,311.34

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Solution

The fourth proportional to 9,300.42, 12,826.89 and 6,311.34 is: 8,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.42 : 12,826.89 = 6,311.34 : x
  2. Step 2: Convert to fraction form
    9,300.42/12,826.89 = 6,311.34/x
  3. Step 3: Cross multiply
    9,300.42x = 12,826.89 × 6,311.34
  4. Step 4: Simplify right side
    9,300.42x = 80,954,863.93
  5. Step 5: Solve for x
    x = 80,954,863.93/9,300.42
  6. Step 6: Final answer
    x = 8,704.43

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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.