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Finding the Fourth Proportional to 9,709.68, 14,583.24 and 8,623.44

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Solution

The fourth proportional to 9,709.68, 14,583.24 and 8,623.44 is: 12,951.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.68 : 14,583.24 = 8,623.44 : x
  2. Step 2: Convert to fraction form
    9,709.68/14,583.24 = 8,623.44/x
  3. Step 3: Cross multiply
    9,709.68x = 14,583.24 × 8,623.44
  4. Step 4: Simplify right side
    9,709.68x = 125,757,695.15
  5. Step 5: Solve for x
    x = 125,757,695.15/9,709.68
  6. Step 6: Final answer
    x = 12,951.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.