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Finding the Fourth Proportional to 12,216.96, 16,859.34 and 6,911.46

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Solution

The fourth proportional to 12,216.96, 16,859.34 and 6,911.46 is: 9,537.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.96 : 16,859.34 = 6,911.46 : x
  2. Step 2: Convert to fraction form
    12,216.96/16,859.34 = 6,911.46/x
  3. Step 3: Cross multiply
    12,216.96x = 16,859.34 × 6,911.46
  4. Step 4: Simplify right side
    12,216.96x = 116,522,654.04
  5. Step 5: Solve for x
    x = 116,522,654.04/12,216.96
  6. Step 6: Final answer
    x = 9,537.78

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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.