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Finding the Fourth Proportional to 8,982.54, 12,394.26 and 6,824.70

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Solution

The fourth proportional to 8,982.54, 12,394.26 and 6,824.70 is: 9,416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.54 : 12,394.26 = 6,824.70 : x
  2. Step 2: Convert to fraction form
    8,982.54/12,394.26 = 6,824.70/x
  3. Step 3: Cross multiply
    8,982.54x = 12,394.26 × 6,824.70
  4. Step 4: Simplify right side
    8,982.54x = 84,587,106.22
  5. Step 5: Solve for x
    x = 84,587,106.22/8,982.54
  6. Step 6: Final answer
    x = 9,416.84

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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.