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Finding the Fourth Proportional to 9,687.97, 14,508.88 and 6,729.37

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Solution

The fourth proportional to 9,687.97, 14,508.88 and 6,729.37 is: 10,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.97 : 14,508.88 = 6,729.37 : x
  2. Step 2: Convert to fraction form
    9,687.97/14,508.88 = 6,729.37/x
  3. Step 3: Cross multiply
    9,687.97x = 14,508.88 × 6,729.37
  4. Step 4: Simplify right side
    9,687.97x = 97,635,621.81
  5. Step 5: Solve for x
    x = 97,635,621.81/9,687.97
  6. Step 6: Final answer
    x = 10,078.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.