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Finding the Fourth Proportional to 8,295.21, 11,446.25 and 6,873.66

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Solution

The fourth proportional to 8,295.21, 11,446.25 and 6,873.66 is: 9,484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.21 : 11,446.25 = 6,873.66 : x
  2. Step 2: Convert to fraction form
    8,295.21/11,446.25 = 6,873.66/x
  3. Step 3: Cross multiply
    8,295.21x = 11,446.25 × 6,873.66
  4. Step 4: Simplify right side
    8,295.21x = 78,677,596.41
  5. Step 5: Solve for x
    x = 78,677,596.41/8,295.21
  6. Step 6: Final answer
    x = 9,484.70

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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.