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Finding the Fourth Proportional to 9,589.50, 14,384.79 and 2,664.54

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Solution

The fourth proportional to 9,589.50, 14,384.79 and 2,664.54 is: 3,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.50 : 14,384.79 = 2,664.54 : x
  2. Step 2: Convert to fraction form
    9,589.50/14,384.79 = 2,664.54/x
  3. Step 3: Cross multiply
    9,589.50x = 14,384.79 × 2,664.54
  4. Step 4: Simplify right side
    9,589.50x = 38,328,848.35
  5. Step 5: Solve for x
    x = 38,328,848.35/9,589.50
  6. Step 6: Final answer
    x = 3,996.96

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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.