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Finding the Fourth Proportional to 10,309.30, 14,238.44 and 6,965.92

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Solution

The fourth proportional to 10,309.30, 14,238.44 and 6,965.92 is: 9,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.30 : 14,238.44 = 6,965.92 : x
  2. Step 2: Convert to fraction form
    10,309.30/14,238.44 = 6,965.92/x
  3. Step 3: Cross multiply
    10,309.30x = 14,238.44 × 6,965.92
  4. Step 4: Simplify right side
    10,309.30x = 99,183,833.96
  5. Step 5: Solve for x
    x = 99,183,833.96/10,309.30
  6. Step 6: Final answer
    x = 9,620.81

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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.