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Finding the Fourth Proportional to 11,909.57, 16,431.86 and 9,383.85

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Solution

The fourth proportional to 11,909.57, 16,431.86 and 9,383.85 is: 12,947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.57 : 16,431.86 = 9,383.85 : x
  2. Step 2: Convert to fraction form
    11,909.57/16,431.86 = 9,383.85/x
  3. Step 3: Cross multiply
    11,909.57x = 16,431.86 × 9,383.85
  4. Step 4: Simplify right side
    11,909.57x = 154,194,132.92
  5. Step 5: Solve for x
    x = 154,194,132.92/11,909.57
  6. Step 6: Final answer
    x = 12,947.08

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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.