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Finding the Fourth Proportional to 9,687.37, 13,281.22 and 9,512.41

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Solution

The fourth proportional to 9,687.37, 13,281.22 and 9,512.41 is: 13,041.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.37 : 13,281.22 = 9,512.41 : x
  2. Step 2: Convert to fraction form
    9,687.37/13,281.22 = 9,512.41/x
  3. Step 3: Cross multiply
    9,687.37x = 13,281.22 × 9,512.41
  4. Step 4: Simplify right side
    9,687.37x = 126,336,433.72
  5. Step 5: Solve for x
    x = 126,336,433.72/9,687.37
  6. Step 6: Final answer
    x = 13,041.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.