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Finding the Fourth Proportional to 9,410.38, 14,096.43 and 7,551.43

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Solution

The fourth proportional to 9,410.38, 14,096.43 and 7,551.43 is: 11,311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.38 : 14,096.43 = 7,551.43 : x
  2. Step 2: Convert to fraction form
    9,410.38/14,096.43 = 7,551.43/x
  3. Step 3: Cross multiply
    9,410.38x = 14,096.43 × 7,551.43
  4. Step 4: Simplify right side
    9,410.38x = 106,448,169.15
  5. Step 5: Solve for x
    x = 106,448,169.15/9,410.38
  6. Step 6: Final answer
    x = 11,311.79

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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.