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Finding the Fourth Proportional to 9,400.15, 14,100.21 and 8,004.56

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Solution

The fourth proportional to 9,400.15, 14,100.21 and 8,004.56 is: 12,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.15 : 14,100.21 = 8,004.56 : x
  2. Step 2: Convert to fraction form
    9,400.15/14,100.21 = 8,004.56/x
  3. Step 3: Cross multiply
    9,400.15x = 14,100.21 × 8,004.56
  4. Step 4: Simplify right side
    9,400.15x = 112,865,906.46
  5. Step 5: Solve for x
    x = 112,865,906.46/9,400.15
  6. Step 6: Final answer
    x = 12,006.82

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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.