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Finding the Fourth Proportional to 9,838.44, 13,565.23 and 8,039.27

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Solution

The fourth proportional to 9,838.44, 13,565.23 and 8,039.27 is: 11,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.44 : 13,565.23 = 8,039.27 : x
  2. Step 2: Convert to fraction form
    9,838.44/13,565.23 = 8,039.27/x
  3. Step 3: Cross multiply
    9,838.44x = 13,565.23 × 8,039.27
  4. Step 4: Simplify right side
    9,838.44x = 109,054,546.58
  5. Step 5: Solve for x
    x = 109,054,546.58/9,838.44
  6. Step 6: Final answer
    x = 11,084.54

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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.