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Finding the Fourth Proportional to 9,381, 14,071.14 and 2,361.09

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Solution

The fourth proportional to 9,381, 14,071.14 and 2,361.09 is: 3,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381 : 14,071.14 = 2,361.09 : x
  2. Step 2: Convert to fraction form
    9,381/14,071.14 = 2,361.09/x
  3. Step 3: Cross multiply
    9,381x = 14,071.14 × 2,361.09
  4. Step 4: Simplify right side
    9,381x = 33,223,227.94
  5. Step 5: Solve for x
    x = 33,223,227.94/9,381
  6. Step 6: Final answer
    x = 3,541.54

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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.