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Finding the Fourth Proportional to 9,650.34, 14,465.70 and 3,798.90

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Solution

The fourth proportional to 9,650.34, 14,465.70 and 3,798.90 is: 5,694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.34 : 14,465.70 = 3,798.90 : x
  2. Step 2: Convert to fraction form
    9,650.34/14,465.70 = 3,798.90/x
  3. Step 3: Cross multiply
    9,650.34x = 14,465.70 × 3,798.90
  4. Step 4: Simplify right side
    9,650.34x = 54,953,747.73
  5. Step 5: Solve for x
    x = 54,953,747.73/9,650.34
  6. Step 6: Final answer
    x = 5,694.49

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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.