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Finding the Fourth Proportional to 9,323.50, 13,991.15 and 8,447.79

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Solution

The fourth proportional to 9,323.50, 13,991.15 and 8,447.79 is: 12,677.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.50 : 13,991.15 = 8,447.79 : x
  2. Step 2: Convert to fraction form
    9,323.50/13,991.15 = 8,447.79/x
  3. Step 3: Cross multiply
    9,323.50x = 13,991.15 × 8,447.79
  4. Step 4: Simplify right side
    9,323.50x = 118,194,297.06
  5. Step 5: Solve for x
    x = 118,194,297.06/9,323.50
  6. Step 6: Final answer
    x = 12,677.03

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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.