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Finding the Fourth Proportional to 9,861.62, 14,796.74 and 5,180.54

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Solution

The fourth proportional to 9,861.62, 14,796.74 and 5,180.54 is: 7,773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.62 : 14,796.74 = 5,180.54 : x
  2. Step 2: Convert to fraction form
    9,861.62/14,796.74 = 5,180.54/x
  3. Step 3: Cross multiply
    9,861.62x = 14,796.74 × 5,180.54
  4. Step 4: Simplify right side
    9,861.62x = 76,655,042.41
  5. Step 5: Solve for x
    x = 76,655,042.41/9,861.62
  6. Step 6: Final answer
    x = 7,773.07

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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.