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Finding the Fourth Proportional to 9,696.48, 14,548.38 and 3,857.22

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Solution

The fourth proportional to 9,696.48, 14,548.38 and 3,857.22 is: 5,787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.48 : 14,548.38 = 3,857.22 : x
  2. Step 2: Convert to fraction form
    9,696.48/14,548.38 = 3,857.22/x
  3. Step 3: Cross multiply
    9,696.48x = 14,548.38 × 3,857.22
  4. Step 4: Simplify right side
    9,696.48x = 56,116,302.30
  5. Step 5: Solve for x
    x = 56,116,302.30/9,696.48
  6. Step 6: Final answer
    x = 5,787.29

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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.