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Finding the Fourth Proportional to 10,441.89, 14,409.47 and 6,195.47

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Solution

The fourth proportional to 10,441.89, 14,409.47 and 6,195.47 is: 8,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.89 : 14,409.47 = 6,195.47 : x
  2. Step 2: Convert to fraction form
    10,441.89/14,409.47 = 6,195.47/x
  3. Step 3: Cross multiply
    10,441.89x = 14,409.47 × 6,195.47
  4. Step 4: Simplify right side
    10,441.89x = 89,273,336.08
  5. Step 5: Solve for x
    x = 89,273,336.08/10,441.89
  6. Step 6: Final answer
    x = 8,549.54

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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.