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Finding the Fourth Proportional to 9,301.78, 13,954.62 and 2,727.43

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Solution

The fourth proportional to 9,301.78, 13,954.62 and 2,727.43 is: 4,091.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.78 : 13,954.62 = 2,727.43 : x
  2. Step 2: Convert to fraction form
    9,301.78/13,954.62 = 2,727.43/x
  3. Step 3: Cross multiply
    9,301.78x = 13,954.62 × 2,727.43
  4. Step 4: Simplify right side
    9,301.78x = 38,060,249.23
  5. Step 5: Solve for x
    x = 38,060,249.23/9,301.78
  6. Step 6: Final answer
    x = 4,091.72

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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.