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Finding the Fourth Proportional to 9,634.70, 14,452.76 and 4,087.42

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Solution

The fourth proportional to 9,634.70, 14,452.76 and 4,087.42 is: 6,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.70 : 14,452.76 = 4,087.42 : x
  2. Step 2: Convert to fraction form
    9,634.70/14,452.76 = 4,087.42/x
  3. Step 3: Cross multiply
    9,634.70x = 14,452.76 × 4,087.42
  4. Step 4: Simplify right side
    9,634.70x = 59,074,474.37
  5. Step 5: Solve for x
    x = 59,074,474.37/9,634.70
  6. Step 6: Final answer
    x = 6,131.43

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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.