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Finding the Fourth Proportional to 9,754.61, 14,633.43 and 3,179.27

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Solution

The fourth proportional to 9,754.61, 14,633.43 and 3,179.27 is: 4,769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.61 : 14,633.43 = 3,179.27 : x
  2. Step 2: Convert to fraction form
    9,754.61/14,633.43 = 3,179.27/x
  3. Step 3: Cross multiply
    9,754.61x = 14,633.43 × 3,179.27
  4. Step 4: Simplify right side
    9,754.61x = 46,523,551.83
  5. Step 5: Solve for x
    x = 46,523,551.83/9,754.61
  6. Step 6: Final answer
    x = 4,769.39

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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.