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Finding the Fourth Proportional to 9,157.14, 13,734.05 and 2,581.76

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Solution

The fourth proportional to 9,157.14, 13,734.05 and 2,581.76 is: 3,872.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.14 : 13,734.05 = 2,581.76 : x
  2. Step 2: Convert to fraction form
    9,157.14/13,734.05 = 2,581.76/x
  3. Step 3: Cross multiply
    9,157.14x = 13,734.05 × 2,581.76
  4. Step 4: Simplify right side
    9,157.14x = 35,458,042.35
  5. Step 5: Solve for x
    x = 35,458,042.35/9,157.14
  6. Step 6: Final answer
    x = 3,872.17

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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.