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Finding the Fourth Proportional to 9,257.14, 13,871.13 and 5,091.04

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Solution

The fourth proportional to 9,257.14, 13,871.13 and 5,091.04 is: 7,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.14 : 13,871.13 = 5,091.04 : x
  2. Step 2: Convert to fraction form
    9,257.14/13,871.13 = 5,091.04/x
  3. Step 3: Cross multiply
    9,257.14x = 13,871.13 × 5,091.04
  4. Step 4: Simplify right side
    9,257.14x = 70,618,477.68
  5. Step 5: Solve for x
    x = 70,618,477.68/9,257.14
  6. Step 6: Final answer
    x = 7,628.54

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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.