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Finding the Fourth Proportional to 10,387.99, 14,327.34 and 9,194.26

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Solution

The fourth proportional to 10,387.99, 14,327.34 and 9,194.26 is: 12,680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.99 : 14,327.34 = 9,194.26 : x
  2. Step 2: Convert to fraction form
    10,387.99/14,327.34 = 9,194.26/x
  3. Step 3: Cross multiply
    10,387.99x = 14,327.34 × 9,194.26
  4. Step 4: Simplify right side
    10,387.99x = 131,729,289.07
  5. Step 5: Solve for x
    x = 131,729,289.07/10,387.99
  6. Step 6: Final answer
    x = 12,680.92

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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.