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Finding the Fourth Proportional to 9,793.08, 14,709.51 and 8,649

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Solution

The fourth proportional to 9,793.08, 14,709.51 and 8,649 is: 12,991.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.08 : 14,709.51 = 8,649 : x
  2. Step 2: Convert to fraction form
    9,793.08/14,709.51 = 8,649/x
  3. Step 3: Cross multiply
    9,793.08x = 14,709.51 × 8,649
  4. Step 4: Simplify right side
    9,793.08x = 127,222,551.99
  5. Step 5: Solve for x
    x = 127,222,551.99/9,793.08
  6. Step 6: Final answer
    x = 12,991.07

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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.