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Finding the Fourth Proportional to 12,274.06, 16,938.28 and 6,968.96

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Solution

The fourth proportional to 12,274.06, 16,938.28 and 6,968.96 is: 9,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.06 : 16,938.28 = 6,968.96 : x
  2. Step 2: Convert to fraction form
    12,274.06/16,938.28 = 6,968.96/x
  3. Step 3: Cross multiply
    12,274.06x = 16,938.28 × 6,968.96
  4. Step 4: Simplify right side
    12,274.06x = 118,042,195.79
  5. Step 5: Solve for x
    x = 118,042,195.79/12,274.06
  6. Step 6: Final answer
    x = 9,617.21

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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.