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Finding the Fourth Proportional to 9,428.88, 14,143.50 and 2,855.04

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Solution

The fourth proportional to 9,428.88, 14,143.50 and 2,855.04 is: 4,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.88 : 14,143.50 = 2,855.04 : x
  2. Step 2: Convert to fraction form
    9,428.88/14,143.50 = 2,855.04/x
  3. Step 3: Cross multiply
    9,428.88x = 14,143.50 × 2,855.04
  4. Step 4: Simplify right side
    9,428.88x = 40,380,258.24
  5. Step 5: Solve for x
    x = 40,380,258.24/9,428.88
  6. Step 6: Final answer
    x = 4,282.61

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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.