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Finding the Fourth Proportional to 9,383.67, 14,039.66 and 8,204.96

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Solution

The fourth proportional to 9,383.67, 14,039.66 and 8,204.96 is: 12,276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.67 : 14,039.66 = 8,204.96 : x
  2. Step 2: Convert to fraction form
    9,383.67/14,039.66 = 8,204.96/x
  3. Step 3: Cross multiply
    9,383.67x = 14,039.66 × 8,204.96
  4. Step 4: Simplify right side
    9,383.67x = 115,194,904.33
  5. Step 5: Solve for x
    x = 115,194,904.33/9,383.67
  6. Step 6: Final answer
    x = 12,276.10

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1.5x scale

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.