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Finding the Fourth Proportional to 6,634.92, 9,952.38 and 4,548.61

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Solution

The fourth proportional to 6,634.92, 9,952.38 and 4,548.61 is: 6,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.92 : 9,952.38 = 4,548.61 : x
  2. Step 2: Convert to fraction form
    6,634.92/9,952.38 = 4,548.61/x
  3. Step 3: Cross multiply
    6,634.92x = 9,952.38 × 4,548.61
  4. Step 4: Simplify right side
    6,634.92x = 45,269,451.65
  5. Step 5: Solve for x
    x = 45,269,451.65/6,634.92
  6. Step 6: Final answer
    x = 6,822.90

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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.