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Finding the Fourth Proportional to 9,002.30, 12,435.28 and 8,163.94

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Solution

The fourth proportional to 9,002.30, 12,435.28 and 8,163.94 is: 11,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.30 : 12,435.28 = 8,163.94 : x
  2. Step 2: Convert to fraction form
    9,002.30/12,435.28 = 8,163.94/x
  3. Step 3: Cross multiply
    9,002.30x = 12,435.28 × 8,163.94
  4. Step 4: Simplify right side
    9,002.30x = 101,520,879.80
  5. Step 5: Solve for x
    x = 101,520,879.80/9,002.30
  6. Step 6: Final answer
    x = 11,277.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.