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Finding the Fourth Proportional to 11,909.70, 17,905.05 and 9,734.22

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Solution

The fourth proportional to 11,909.70, 17,905.05 and 9,734.22 is: 14,634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.70 : 17,905.05 = 9,734.22 : x
  2. Step 2: Convert to fraction form
    11,909.70/17,905.05 = 9,734.22/x
  3. Step 3: Cross multiply
    11,909.70x = 17,905.05 × 9,734.22
  4. Step 4: Simplify right side
    11,909.70x = 174,291,695.81
  5. Step 5: Solve for x
    x = 174,291,695.81/11,909.70
  6. Step 6: Final answer
    x = 14,634.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.