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Finding the Fourth Proportional to 10,193.01, 14,044.79 and 9,491.75

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Solution

The fourth proportional to 10,193.01, 14,044.79 and 9,491.75 is: 13,078.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.01 : 14,044.79 = 9,491.75 : x
  2. Step 2: Convert to fraction form
    10,193.01/14,044.79 = 9,491.75/x
  3. Step 3: Cross multiply
    10,193.01x = 14,044.79 × 9,491.75
  4. Step 4: Simplify right side
    10,193.01x = 133,309,635.48
  5. Step 5: Solve for x
    x = 133,309,635.48/10,193.01
  6. Step 6: Final answer
    x = 13,078.53

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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.