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Finding the Fourth Proportional to 9,696.45, 13,382.84 and 5,717.33

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Solution

The fourth proportional to 9,696.45, 13,382.84 and 5,717.33 is: 7,890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.45 : 13,382.84 = 5,717.33 : x
  2. Step 2: Convert to fraction form
    9,696.45/13,382.84 = 5,717.33/x
  3. Step 3: Cross multiply
    9,696.45x = 13,382.84 × 5,717.33
  4. Step 4: Simplify right side
    9,696.45x = 76,514,060.00
  5. Step 5: Solve for x
    x = 76,514,060.00/9,696.45
  6. Step 6: Final answer
    x = 7,890.94

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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.