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Finding the Fourth Proportional to 9,383.25, 12,949.29 and 5,191.50

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Solution

The fourth proportional to 9,383.25, 12,949.29 and 5,191.50 is: 7,164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.25 : 12,949.29 = 5,191.50 : x
  2. Step 2: Convert to fraction form
    9,383.25/12,949.29 = 5,191.50/x
  3. Step 3: Cross multiply
    9,383.25x = 12,949.29 × 5,191.50
  4. Step 4: Simplify right side
    9,383.25x = 67,226,239.04
  5. Step 5: Solve for x
    x = 67,226,239.04/9,383.25
  6. Step 6: Final answer
    x = 7,164.49

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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.