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Finding the Fourth Proportional to 9,628.26, 14,458.86 and 5,952.24

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Solution

The fourth proportional to 9,628.26, 14,458.86 and 5,952.24 is: 8,938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.26 : 14,458.86 = 5,952.24 : x
  2. Step 2: Convert to fraction form
    9,628.26/14,458.86 = 5,952.24/x
  3. Step 3: Cross multiply
    9,628.26x = 14,458.86 × 5,952.24
  4. Step 4: Simplify right side
    9,628.26x = 86,062,604.85
  5. Step 5: Solve for x
    x = 86,062,604.85/9,628.26
  6. Step 6: Final answer
    x = 8,938.54

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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.