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Finding the Fourth Proportional to 9,696.04, 13,380.24 and 5,504.26

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Solution

The fourth proportional to 9,696.04, 13,380.24 and 5,504.26 is: 7,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.04 : 13,380.24 = 5,504.26 : x
  2. Step 2: Convert to fraction form
    9,696.04/13,380.24 = 5,504.26/x
  3. Step 3: Cross multiply
    9,696.04x = 13,380.24 × 5,504.26
  4. Step 4: Simplify right side
    9,696.04x = 73,648,319.82
  5. Step 5: Solve for x
    x = 73,648,319.82/9,696.04
  6. Step 6: Final answer
    x = 7,595.71

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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.