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Finding the Fourth Proportional to 11,909.82, 16,432.20 and 9,384.10

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Solution

The fourth proportional to 11,909.82, 16,432.20 and 9,384.10 is: 12,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.82 : 16,432.20 = 9,384.10 : x
  2. Step 2: Convert to fraction form
    11,909.82/16,432.20 = 9,384.10/x
  3. Step 3: Cross multiply
    11,909.82x = 16,432.20 × 9,384.10
  4. Step 4: Simplify right side
    11,909.82x = 154,201,408.02
  5. Step 5: Solve for x
    x = 154,201,408.02/11,909.82
  6. Step 6: Final answer
    x = 12,947.42

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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.