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Finding the Fourth Proportional to 9,696.29, 13,384.27 and 5,717.14

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Solution

The fourth proportional to 9,696.29, 13,384.27 and 5,717.14 is: 7,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.29 : 13,384.27 = 5,717.14 : x
  2. Step 2: Convert to fraction form
    9,696.29/13,384.27 = 5,717.14/x
  3. Step 3: Cross multiply
    9,696.29x = 13,384.27 × 5,717.14
  4. Step 4: Simplify right side
    9,696.29x = 76,519,801.12
  5. Step 5: Solve for x
    x = 76,519,801.12/9,696.29
  6. Step 6: Final answer
    x = 7,891.66

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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.