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Finding the Fourth Proportional to 8,270.92, 12,384.84 and 6,500.46

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Solution

The fourth proportional to 8,270.92, 12,384.84 and 6,500.46 is: 9,733.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.92 : 12,384.84 = 6,500.46 : x
  2. Step 2: Convert to fraction form
    8,270.92/12,384.84 = 6,500.46/x
  3. Step 3: Cross multiply
    8,270.92x = 12,384.84 × 6,500.46
  4. Step 4: Simplify right side
    8,270.92x = 80,507,157.03
  5. Step 5: Solve for x
    x = 80,507,157.03/8,270.92
  6. Step 6: Final answer
    x = 9,733.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.