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Finding the Fourth Proportional to 8,902.14, 12,284.98 and 6,217.26

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Solution

The fourth proportional to 8,902.14, 12,284.98 and 6,217.26 is: 8,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.14 : 12,284.98 = 6,217.26 : x
  2. Step 2: Convert to fraction form
    8,902.14/12,284.98 = 6,217.26/x
  3. Step 3: Cross multiply
    8,902.14x = 12,284.98 × 6,217.26
  4. Step 4: Simplify right side
    8,902.14x = 76,378,914.75
  5. Step 5: Solve for x
    x = 76,378,914.75/8,902.14
  6. Step 6: Final answer
    x = 8,579.84

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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.