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Finding the Fourth Proportional to 9,496.51, 14,247.06 and 3,256.57

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Solution

The fourth proportional to 9,496.51, 14,247.06 and 3,256.57 is: 4,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.51 : 14,247.06 = 3,256.57 : x
  2. Step 2: Convert to fraction form
    9,496.51/14,247.06 = 3,256.57/x
  3. Step 3: Cross multiply
    9,496.51x = 14,247.06 × 3,256.57
  4. Step 4: Simplify right side
    9,496.51x = 46,396,553.78
  5. Step 5: Solve for x
    x = 46,396,553.78/9,496.51
  6. Step 6: Final answer
    x = 4,885.64

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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.