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Finding the Fourth Proportional to 9,454.68, 14,181.66 and 2,529

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Solution

The fourth proportional to 9,454.68, 14,181.66 and 2,529 is: 3,793.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.68 : 14,181.66 = 2,529 : x
  2. Step 2: Convert to fraction form
    9,454.68/14,181.66 = 2,529/x
  3. Step 3: Cross multiply
    9,454.68x = 14,181.66 × 2,529
  4. Step 4: Simplify right side
    9,454.68x = 35,865,418.14
  5. Step 5: Solve for x
    x = 35,865,418.14/9,454.68
  6. Step 6: Final answer
    x = 3,793.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.