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Finding the Fourth Proportional to 12,709.28, 17,538.22 and 6,966.44

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Solution

The fourth proportional to 12,709.28, 17,538.22 and 6,966.44 is: 9,613.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.28 : 17,538.22 = 6,966.44 : x
  2. Step 2: Convert to fraction form
    12,709.28/17,538.22 = 6,966.44/x
  3. Step 3: Cross multiply
    12,709.28x = 17,538.22 × 6,966.44
  4. Step 4: Simplify right side
    12,709.28x = 122,178,957.34
  5. Step 5: Solve for x
    x = 122,178,957.34/12,709.28
  6. Step 6: Final answer
    x = 9,613.37

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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.