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Finding the Fourth Proportional to 9,801.12, 13,540.74 and 9,727.32

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Solution

The fourth proportional to 9,801.12, 13,540.74 and 9,727.32 is: 13,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.12 : 13,540.74 = 9,727.32 : x
  2. Step 2: Convert to fraction form
    9,801.12/13,540.74 = 9,727.32/x
  3. Step 3: Cross multiply
    9,801.12x = 13,540.74 × 9,727.32
  4. Step 4: Simplify right side
    9,801.12x = 131,715,111.02
  5. Step 5: Solve for x
    x = 131,715,111.02/9,801.12
  6. Step 6: Final answer
    x = 13,438.78

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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.