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Finding the Fourth Proportional to 9,667.23, 14,385.05 and 9,634.43

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Solution

The fourth proportional to 9,667.23, 14,385.05 and 9,634.43 is: 14,336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.23 : 14,385.05 = 9,634.43 : x
  2. Step 2: Convert to fraction form
    9,667.23/14,385.05 = 9,634.43/x
  3. Step 3: Cross multiply
    9,667.23x = 14,385.05 × 9,634.43
  4. Step 4: Simplify right side
    9,667.23x = 138,591,637.17
  5. Step 5: Solve for x
    x = 138,591,637.17/9,667.23
  6. Step 6: Final answer
    x = 14,336.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.