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Finding the Fourth Proportional to 11,969.22, 16,517.26 and 6,934.35

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Solution

The fourth proportional to 11,969.22, 16,517.26 and 6,934.35 is: 9,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.22 : 16,517.26 = 6,934.35 : x
  2. Step 2: Convert to fraction form
    11,969.22/16,517.26 = 6,934.35/x
  3. Step 3: Cross multiply
    11,969.22x = 16,517.26 × 6,934.35
  4. Step 4: Simplify right side
    11,969.22x = 114,536,461.88
  5. Step 5: Solve for x
    x = 114,536,461.88/11,969.22
  6. Step 6: Final answer
    x = 9,569.25

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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.