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Finding the Fourth Proportional to 9,481.44, 14,216.40 and 4,861.92

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Solution

The fourth proportional to 9,481.44, 14,216.40 and 4,861.92 is: 7,289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.44 : 14,216.40 = 4,861.92 : x
  2. Step 2: Convert to fraction form
    9,481.44/14,216.40 = 4,861.92/x
  3. Step 3: Cross multiply
    9,481.44x = 14,216.40 × 4,861.92
  4. Step 4: Simplify right side
    9,481.44x = 69,118,999.49
  5. Step 5: Solve for x
    x = 69,118,999.49/9,481.44
  6. Step 6: Final answer
    x = 7,289.93

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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.