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Finding the Fourth Proportional to 9,891.39, 13,650.28 and 5,415.07

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Solution

The fourth proportional to 9,891.39, 13,650.28 and 5,415.07 is: 7,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.39 : 13,650.28 = 5,415.07 : x
  2. Step 2: Convert to fraction form
    9,891.39/13,650.28 = 5,415.07/x
  3. Step 3: Cross multiply
    9,891.39x = 13,650.28 × 5,415.07
  4. Step 4: Simplify right side
    9,891.39x = 73,917,153.47
  5. Step 5: Solve for x
    x = 73,917,153.47/9,891.39
  6. Step 6: Final answer
    x = 7,472.88

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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.