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Finding the Fourth Proportional to 9,456.63, 14,187 and 2,882.64

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Solution

The fourth proportional to 9,456.63, 14,187 and 2,882.64 is: 4,324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.63 : 14,187 = 2,882.64 : x
  2. Step 2: Convert to fraction form
    9,456.63/14,187 = 2,882.64/x
  3. Step 3: Cross multiply
    9,456.63x = 14,187 × 2,882.64
  4. Step 4: Simplify right side
    9,456.63x = 40,896,013.68
  5. Step 5: Solve for x
    x = 40,896,013.68/9,456.63
  6. Step 6: Final answer
    x = 4,324.59

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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.