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Finding the Fourth Proportional to 6,222.66, 9,312.06 and 3,883.76

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Solution

The fourth proportional to 6,222.66, 9,312.06 and 3,883.76 is: 5,811.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.66 : 9,312.06 = 3,883.76 : x
  2. Step 2: Convert to fraction form
    6,222.66/9,312.06 = 3,883.76/x
  3. Step 3: Cross multiply
    6,222.66x = 9,312.06 × 3,883.76
  4. Step 4: Simplify right side
    6,222.66x = 36,165,861.45
  5. Step 5: Solve for x
    x = 36,165,861.45/6,222.66
  6. Step 6: Final answer
    x = 5,811.97

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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.