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Finding the Fourth Proportional to 9,696.36, 13,380.97 and 5,504.61

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Solution

The fourth proportional to 9,696.36, 13,380.97 and 5,504.61 is: 7,596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.36 : 13,380.97 = 5,504.61 : x
  2. Step 2: Convert to fraction form
    9,696.36/13,380.97 = 5,504.61/x
  3. Step 3: Cross multiply
    9,696.36x = 13,380.97 × 5,504.61
  4. Step 4: Simplify right side
    9,696.36x = 73,657,007.51
  5. Step 5: Solve for x
    x = 73,657,007.51/9,696.36
  6. Step 6: Final answer
    x = 7,596.36

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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.