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Finding the Fourth Proportional to 9,157.62, 13,734.97 and 2,584.27

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Solution

The fourth proportional to 9,157.62, 13,734.97 and 2,584.27 is: 3,875.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.62 : 13,734.97 = 2,584.27 : x
  2. Step 2: Convert to fraction form
    9,157.62/13,734.97 = 2,584.27/x
  3. Step 3: Cross multiply
    9,157.62x = 13,734.97 × 2,584.27
  4. Step 4: Simplify right side
    9,157.62x = 35,494,881.63
  5. Step 5: Solve for x
    x = 35,494,881.63/9,157.62
  6. Step 6: Final answer
    x = 3,875.99

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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.