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Finding the Fourth Proportional to 9,311.68, 12,846.16 and 5,953.76

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Solution

The fourth proportional to 9,311.68, 12,846.16 and 5,953.76 is: 8,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.68 : 12,846.16 = 5,953.76 : x
  2. Step 2: Convert to fraction form
    9,311.68/12,846.16 = 5,953.76/x
  3. Step 3: Cross multiply
    9,311.68x = 12,846.16 × 5,953.76
  4. Step 4: Simplify right side
    9,311.68x = 76,482,953.56
  5. Step 5: Solve for x
    x = 76,482,953.56/9,311.68
  6. Step 6: Final answer
    x = 8,213.66

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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.