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Finding the Fourth Proportional to 9,650.40, 14,461.20 and 8,181.60

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Solution

The fourth proportional to 9,650.40, 14,461.20 and 8,181.60 is: 12,260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.40 : 14,461.20 = 8,181.60 : x
  2. Step 2: Convert to fraction form
    9,650.40/14,461.20 = 8,181.60/x
  3. Step 3: Cross multiply
    9,650.40x = 14,461.20 × 8,181.60
  4. Step 4: Simplify right side
    9,650.40x = 118,315,753.92
  5. Step 5: Solve for x
    x = 118,315,753.92/9,650.40
  6. Step 6: Final answer
    x = 12,260.19

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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.