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Finding the Fourth Proportional to 10,093.64, 13,921.32 and 6,558

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Solution

The fourth proportional to 10,093.64, 13,921.32 and 6,558 is: 9,044.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.64 : 13,921.32 = 6,558 : x
  2. Step 2: Convert to fraction form
    10,093.64/13,921.32 = 6,558/x
  3. Step 3: Cross multiply
    10,093.64x = 13,921.32 × 6,558
  4. Step 4: Simplify right side
    10,093.64x = 91,296,016.56
  5. Step 5: Solve for x
    x = 91,296,016.56/10,093.64
  6. Step 6: Final answer
    x = 9,044.91

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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.