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Finding the Fourth Proportional to 9,891.71, 13,650.57 and 5,415.49

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Solution

The fourth proportional to 9,891.71, 13,650.57 and 5,415.49 is: 7,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.71 : 13,650.57 = 5,415.49 : x
  2. Step 2: Convert to fraction form
    9,891.71/13,650.57 = 5,415.49/x
  3. Step 3: Cross multiply
    9,891.71x = 13,650.57 × 5,415.49
  4. Step 4: Simplify right side
    9,891.71x = 73,924,525.33
  5. Step 5: Solve for x
    x = 73,924,525.33/9,891.71
  6. Step 6: Final answer
    x = 7,473.38

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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.