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Finding the Fourth Proportional to 9,841.73, 14,760.08 and 2,914.61

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Solution

The fourth proportional to 9,841.73, 14,760.08 and 2,914.61 is: 4,371.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.73 : 14,760.08 = 2,914.61 : x
  2. Step 2: Convert to fraction form
    9,841.73/14,760.08 = 2,914.61/x
  3. Step 3: Cross multiply
    9,841.73x = 14,760.08 × 2,914.61
  4. Step 4: Simplify right side
    9,841.73x = 43,019,862.20
  5. Step 5: Solve for x
    x = 43,019,862.20/9,841.73
  6. Step 6: Final answer
    x = 4,371.17

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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.