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Finding the Fourth Proportional to 9,696.42, 13,382.31 and 5,918.79

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Solution

The fourth proportional to 9,696.42, 13,382.31 and 5,918.79 is: 8,168.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.42 : 13,382.31 = 5,918.79 : x
  2. Step 2: Convert to fraction form
    9,696.42/13,382.31 = 5,918.79/x
  3. Step 3: Cross multiply
    9,696.42x = 13,382.31 × 5,918.79
  4. Step 4: Simplify right side
    9,696.42x = 79,207,082.60
  5. Step 5: Solve for x
    x = 79,207,082.60/9,696.42
  6. Step 6: Final answer
    x = 8,168.69

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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.