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Finding the Fourth Proportional to 8,952.72, 13,424.49 and 4,738.23

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Solution

The fourth proportional to 8,952.72, 13,424.49 and 4,738.23 is: 7,104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,952.72 : 13,424.49 = 4,738.23 : x
  2. Step 2: Convert to fraction form
    8,952.72/13,424.49 = 4,738.23/x
  3. Step 3: Cross multiply
    8,952.72x = 13,424.49 × 4,738.23
  4. Step 4: Simplify right side
    8,952.72x = 63,608,321.25
  5. Step 5: Solve for x
    x = 63,608,321.25/8,952.72
  6. Step 6: Final answer
    x = 7,104.92

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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.