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Finding the Fourth Proportional to 11,941.14, 17,916.75 and 6,393

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Solution

The fourth proportional to 11,941.14, 17,916.75 and 6,393 is: 9,592.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,941.14 : 17,916.75 = 6,393 : x
  2. Step 2: Convert to fraction form
    11,941.14/17,916.75 = 6,393/x
  3. Step 3: Cross multiply
    11,941.14x = 17,916.75 × 6,393
  4. Step 4: Simplify right side
    11,941.14x = 114,541,782.75
  5. Step 5: Solve for x
    x = 114,541,782.75/11,941.14
  6. Step 6: Final answer
    x = 9,592.20

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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.