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Finding the Fourth Proportional to 9,650.99, 14,443.61 and 8,092.75

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Solution

The fourth proportional to 9,650.99, 14,443.61 and 8,092.75 is: 12,111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.99 : 14,443.61 = 8,092.75 : x
  2. Step 2: Convert to fraction form
    9,650.99/14,443.61 = 8,092.75/x
  3. Step 3: Cross multiply
    9,650.99x = 14,443.61 × 8,092.75
  4. Step 4: Simplify right side
    9,650.99x = 116,888,448.25
  5. Step 5: Solve for x
    x = 116,888,448.25/9,650.99
  6. Step 6: Final answer
    x = 12,111.56

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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.