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Finding the Fourth Proportional to 9,649.49, 13,315.38 and 5,400.33

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Solution

The fourth proportional to 9,649.49, 13,315.38 and 5,400.33 is: 7,451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.49 : 13,315.38 = 5,400.33 : x
  2. Step 2: Convert to fraction form
    9,649.49/13,315.38 = 5,400.33/x
  3. Step 3: Cross multiply
    9,649.49x = 13,315.38 × 5,400.33
  4. Step 4: Simplify right side
    9,649.49x = 71,907,446.08
  5. Step 5: Solve for x
    x = 71,907,446.08/9,649.49
  6. Step 6: Final answer
    x = 7,451.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.