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Finding the Fourth Proportional to 12,296.09, 16,969.72 and 6,990.89

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Solution

The fourth proportional to 12,296.09, 16,969.72 and 6,990.89 is: 9,648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.09 : 16,969.72 = 6,990.89 : x
  2. Step 2: Convert to fraction form
    12,296.09/16,969.72 = 6,990.89/x
  3. Step 3: Cross multiply
    12,296.09x = 16,969.72 × 6,990.89
  4. Step 4: Simplify right side
    12,296.09x = 118,633,445.85
  5. Step 5: Solve for x
    x = 118,633,445.85/12,296.09
  6. Step 6: Final answer
    x = 9,648.06

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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.