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Finding the Fourth Proportional to 9,496.37, 14,244.78 and 3,256.34

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Solution

The fourth proportional to 9,496.37, 14,244.78 and 3,256.34 is: 4,884.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.37 : 14,244.78 = 3,256.34 : x
  2. Step 2: Convert to fraction form
    9,496.37/14,244.78 = 3,256.34/x
  3. Step 3: Cross multiply
    9,496.37x = 14,244.78 × 3,256.34
  4. Step 4: Simplify right side
    9,496.37x = 46,385,769.58
  5. Step 5: Solve for x
    x = 46,385,769.58/9,496.37
  6. Step 6: Final answer
    x = 4,884.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.