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Finding the Fourth Proportional to 8,164.98, 12,238.32 and 6,213.06

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Solution

The fourth proportional to 8,164.98, 12,238.32 and 6,213.06 is: 9,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.98 : 12,238.32 = 6,213.06 : x
  2. Step 2: Convert to fraction form
    8,164.98/12,238.32 = 6,213.06/x
  3. Step 3: Cross multiply
    8,164.98x = 12,238.32 × 6,213.06
  4. Step 4: Simplify right side
    8,164.98x = 76,037,416.46
  5. Step 5: Solve for x
    x = 76,037,416.46/8,164.98
  6. Step 6: Final answer
    x = 9,312.63

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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.