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Finding the Fourth Proportional to 9,406.09, 12,950.85 and 7,986.79

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Solution

The fourth proportional to 9,406.09, 12,950.85 and 7,986.79 is: 10,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.09 : 12,950.85 = 7,986.79 : x
  2. Step 2: Convert to fraction form
    9,406.09/12,950.85 = 7,986.79/x
  3. Step 3: Cross multiply
    9,406.09x = 12,950.85 × 7,986.79
  4. Step 4: Simplify right side
    9,406.09x = 103,435,719.27
  5. Step 5: Solve for x
    x = 103,435,719.27/9,406.09
  6. Step 6: Final answer
    x = 10,996.68

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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.