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Finding the Fourth Proportional to 9,634.98, 14,453.19 and 4,087.70

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Solution

The fourth proportional to 9,634.98, 14,453.19 and 4,087.70 is: 6,131.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.98 : 14,453.19 = 4,087.70 : x
  2. Step 2: Convert to fraction form
    9,634.98/14,453.19 = 4,087.70/x
  3. Step 3: Cross multiply
    9,634.98x = 14,453.19 × 4,087.70
  4. Step 4: Simplify right side
    9,634.98x = 59,080,286.70
  5. Step 5: Solve for x
    x = 59,080,286.70/9,634.98
  6. Step 6: Final answer
    x = 6,131.85

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