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Finding the Fourth Proportional to 9,696.64, 14,553.24 and 3,857.36

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Solution

The fourth proportional to 9,696.64, 14,553.24 and 3,857.36 is: 5,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.64 : 14,553.24 = 3,857.36 : x
  2. Step 2: Convert to fraction form
    9,696.64/14,553.24 = 3,857.36/x
  3. Step 3: Cross multiply
    9,696.64x = 14,553.24 × 3,857.36
  4. Step 4: Simplify right side
    9,696.64x = 56,137,085.85
  5. Step 5: Solve for x
    x = 56,137,085.85/9,696.64
  6. Step 6: Final answer
    x = 5,789.33

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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.