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Finding the Fourth Proportional to 10,463.44, 14,462.50 and 9,194.96

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Solution

The fourth proportional to 10,463.44, 14,462.50 and 9,194.96 is: 12,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.44 : 14,462.50 = 9,194.96 : x
  2. Step 2: Convert to fraction form
    10,463.44/14,462.50 = 9,194.96/x
  3. Step 3: Cross multiply
    10,463.44x = 14,462.50 × 9,194.96
  4. Step 4: Simplify right side
    10,463.44x = 132,982,109.00
  5. Step 5: Solve for x
    x = 132,982,109.00/10,463.44
  6. Step 6: Final answer
    x = 12,709.22

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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.