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Finding the Fourth Proportional to 9,696.88, 13,379.64 and 5,716.52

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Solution

The fourth proportional to 9,696.88, 13,379.64 and 5,716.52 is: 7,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.88 : 13,379.64 = 5,716.52 : x
  2. Step 2: Convert to fraction form
    9,696.88/13,379.64 = 5,716.52/x
  3. Step 3: Cross multiply
    9,696.88x = 13,379.64 × 5,716.52
  4. Step 4: Simplify right side
    9,696.88x = 76,484,979.65
  5. Step 5: Solve for x
    x = 76,484,979.65/9,696.88
  6. Step 6: Final answer
    x = 7,887.59

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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.