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Finding the Fourth Proportional to 9,541, 14,313.68 and 3,385

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Solution

The fourth proportional to 9,541, 14,313.68 and 3,385 is: 5,078.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541 : 14,313.68 = 3,385 : x
  2. Step 2: Convert to fraction form
    9,541/14,313.68 = 3,385/x
  3. Step 3: Cross multiply
    9,541x = 14,313.68 × 3,385
  4. Step 4: Simplify right side
    9,541x = 48,451,806.80
  5. Step 5: Solve for x
    x = 48,451,806.80/9,541
  6. Step 6: Final answer
    x = 5,078.27

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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.