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Finding the Fourth Proportional to 9,161.88, 12,649.08 and 7,033.34

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Solution

The fourth proportional to 9,161.88, 12,649.08 and 7,033.34 is: 9,710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.88 : 12,649.08 = 7,033.34 : x
  2. Step 2: Convert to fraction form
    9,161.88/12,649.08 = 7,033.34/x
  3. Step 3: Cross multiply
    9,161.88x = 12,649.08 × 7,033.34
  4. Step 4: Simplify right side
    9,161.88x = 88,965,217.08
  5. Step 5: Solve for x
    x = 88,965,217.08/9,161.88
  6. Step 6: Final answer
    x = 9,710.37

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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.