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Finding the Fourth Proportional to 6,954.19, 10,429.08 and 2,273.14

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Solution

The fourth proportional to 6,954.19, 10,429.08 and 2,273.14 is: 3,408.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.19 : 10,429.08 = 2,273.14 : x
  2. Step 2: Convert to fraction form
    6,954.19/10,429.08 = 2,273.14/x
  3. Step 3: Cross multiply
    6,954.19x = 10,429.08 × 2,273.14
  4. Step 4: Simplify right side
    6,954.19x = 23,706,758.91
  5. Step 5: Solve for x
    x = 23,706,758.91/6,954.19
  6. Step 6: Final answer
    x = 3,408.99

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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.