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Finding the Fourth Proportional to 9,744.50, 13,447.44 and 6,206.96

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Solution

The fourth proportional to 9,744.50, 13,447.44 and 6,206.96 is: 8,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.50 : 13,447.44 = 6,206.96 : x
  2. Step 2: Convert to fraction form
    9,744.50/13,447.44 = 6,206.96/x
  3. Step 3: Cross multiply
    9,744.50x = 13,447.44 × 6,206.96
  4. Step 4: Simplify right side
    9,744.50x = 83,467,722.18
  5. Step 5: Solve for x
    x = 83,467,722.18/9,744.50
  6. Step 6: Final answer
    x = 8,565.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.