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Finding the Fourth Proportional to 9,634.36, 14,453.49 and 5,476.36

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Solution

The fourth proportional to 9,634.36, 14,453.49 and 5,476.36 is: 8,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.36 : 14,453.49 = 5,476.36 : x
  2. Step 2: Convert to fraction form
    9,634.36/14,453.49 = 5,476.36/x
  3. Step 3: Cross multiply
    9,634.36x = 14,453.49 × 5,476.36
  4. Step 4: Simplify right side
    9,634.36x = 79,152,514.50
  5. Step 5: Solve for x
    x = 79,152,514.50/9,634.36
  6. Step 6: Final answer
    x = 8,215.65

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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.