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Finding the Fourth Proportional to 9,650.34, 14,471.06 and 4,100.73

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Solution

The fourth proportional to 9,650.34, 14,471.06 and 4,100.73 is: 6,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.34 : 14,471.06 = 4,100.73 : x
  2. Step 2: Convert to fraction form
    9,650.34/14,471.06 = 4,100.73/x
  3. Step 3: Cross multiply
    9,650.34x = 14,471.06 × 4,100.73
  4. Step 4: Simplify right side
    9,650.34x = 59,341,835.10
  5. Step 5: Solve for x
    x = 59,341,835.10/9,650.34
  6. Step 6: Final answer
    x = 6,149.20

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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.