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Finding the Fourth Proportional to 10,195.45, 14,069.73 and 5,949.43

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Solution

The fourth proportional to 10,195.45, 14,069.73 and 5,949.43 is: 8,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.45 : 14,069.73 = 5,949.43 : x
  2. Step 2: Convert to fraction form
    10,195.45/14,069.73 = 5,949.43/x
  3. Step 3: Cross multiply
    10,195.45x = 14,069.73 × 5,949.43
  4. Step 4: Simplify right side
    10,195.45x = 83,706,873.75
  5. Step 5: Solve for x
    x = 83,706,873.75/10,195.45
  6. Step 6: Final answer
    x = 8,210.22

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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.