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Finding the Fourth Proportional to 10,846.09, 14,965.93 and 6,369.42

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Solution

The fourth proportional to 10,846.09, 14,965.93 and 6,369.42 is: 8,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.09 : 14,965.93 = 6,369.42 : x
  2. Step 2: Convert to fraction form
    10,846.09/14,965.93 = 6,369.42/x
  3. Step 3: Cross multiply
    10,846.09x = 14,965.93 × 6,369.42
  4. Step 4: Simplify right side
    10,846.09x = 95,324,293.86
  5. Step 5: Solve for x
    x = 95,324,293.86/10,846.09
  6. Step 6: Final answer
    x = 8,788.82

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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.