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Finding the Fourth Proportional to 8,109.66, 11,197.67 and 6,346.29

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Solution

The fourth proportional to 8,109.66, 11,197.67 and 6,346.29 is: 8,762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.66 : 11,197.67 = 6,346.29 : x
  2. Step 2: Convert to fraction form
    8,109.66/11,197.67 = 6,346.29/x
  3. Step 3: Cross multiply
    8,109.66x = 11,197.67 × 6,346.29
  4. Step 4: Simplify right side
    8,109.66x = 71,063,629.41
  5. Step 5: Solve for x
    x = 71,063,629.41/8,109.66
  6. Step 6: Final answer
    x = 8,762.84

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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.