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Finding the Fourth Proportional to 11,909.64, 16,433.94 and 6,873.84

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Solution

The fourth proportional to 11,909.64, 16,433.94 and 6,873.84 is: 9,485.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.64 : 16,433.94 = 6,873.84 : x
  2. Step 2: Convert to fraction form
    11,909.64/16,433.94 = 6,873.84/x
  3. Step 3: Cross multiply
    11,909.64x = 16,433.94 × 6,873.84
  4. Step 4: Simplify right side
    11,909.64x = 112,964,274.13
  5. Step 5: Solve for x
    x = 112,964,274.13/11,909.64
  6. Step 6: Final answer
    x = 9,485.11

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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.