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Finding the Fourth Proportional to 9,716.96, 13,405.94 and 5,736.08

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Solution

The fourth proportional to 9,716.96, 13,405.94 and 5,736.08 is: 7,913.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.96 : 13,405.94 = 5,736.08 : x
  2. Step 2: Convert to fraction form
    9,716.96/13,405.94 = 5,736.08/x
  3. Step 3: Cross multiply
    9,716.96x = 13,405.94 × 5,736.08
  4. Step 4: Simplify right side
    9,716.96x = 76,897,544.32
  5. Step 5: Solve for x
    x = 76,897,544.32/9,716.96
  6. Step 6: Final answer
    x = 7,913.75

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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.