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Finding the Fourth Proportional to 12,246.44, 16,909.62 and 9,409.31

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Solution

The fourth proportional to 12,246.44, 16,909.62 and 9,409.31 is: 12,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,246.44 : 16,909.62 = 9,409.31 : x
  2. Step 2: Convert to fraction form
    12,246.44/16,909.62 = 9,409.31/x
  3. Step 3: Cross multiply
    12,246.44x = 16,909.62 × 9,409.31
  4. Step 4: Simplify right side
    12,246.44x = 159,107,800.14
  5. Step 5: Solve for x
    x = 159,107,800.14/12,246.44
  6. Step 6: Final answer
    x = 12,992.17

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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.