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Finding the Fourth Proportional to 11,909.82, 16,438.95 and 7,194.42

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Solution

The fourth proportional to 11,909.82, 16,438.95 and 7,194.42 is: 9,930.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.82 : 16,438.95 = 7,194.42 : x
  2. Step 2: Convert to fraction form
    11,909.82/16,438.95 = 7,194.42/x
  3. Step 3: Cross multiply
    11,909.82x = 16,438.95 × 7,194.42
  4. Step 4: Simplify right side
    11,909.82x = 118,268,710.66
  5. Step 5: Solve for x
    x = 118,268,710.66/11,909.82
  6. Step 6: Final answer
    x = 9,930.35

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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.