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Finding the Fourth Proportional to 10,660.63, 14,694.03 and 9,767.23

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Solution

The fourth proportional to 10,660.63, 14,694.03 and 9,767.23 is: 13,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.63 : 14,694.03 = 9,767.23 : x
  2. Step 2: Convert to fraction form
    10,660.63/14,694.03 = 9,767.23/x
  3. Step 3: Cross multiply
    10,660.63x = 14,694.03 × 9,767.23
  4. Step 4: Simplify right side
    10,660.63x = 143,519,933.90
  5. Step 5: Solve for x
    x = 143,519,933.90/10,660.63
  6. Step 6: Final answer
    x = 13,462.62

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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.