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Finding the Fourth Proportional to 11,893.64, 16,422.55 and 9,546.26

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Solution

The fourth proportional to 11,893.64, 16,422.55 and 9,546.26 is: 13,181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.64 : 16,422.55 = 9,546.26 : x
  2. Step 2: Convert to fraction form
    11,893.64/16,422.55 = 9,546.26/x
  3. Step 3: Cross multiply
    11,893.64x = 16,422.55 × 9,546.26
  4. Step 4: Simplify right side
    11,893.64x = 156,773,826.18
  5. Step 5: Solve for x
    x = 156,773,826.18/11,893.64
  6. Step 6: Final answer
    x = 13,181.32

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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.