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Finding the Fourth Proportional to 6,716.90, 9,260.24 and 5,667.14

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Solution

The fourth proportional to 6,716.90, 9,260.24 and 5,667.14 is: 7,812.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.90 : 9,260.24 = 5,667.14 : x
  2. Step 2: Convert to fraction form
    6,716.90/9,260.24 = 5,667.14/x
  3. Step 3: Cross multiply
    6,716.90x = 9,260.24 × 5,667.14
  4. Step 4: Simplify right side
    6,716.90x = 52,479,076.51
  5. Step 5: Solve for x
    x = 52,479,076.51/6,716.90
  6. Step 6: Final answer
    x = 7,812.99

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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.