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Finding the Fourth Proportional to 6,716.91, 9,257.29 and 5,462.12

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Solution

The fourth proportional to 6,716.91, 9,257.29 and 5,462.12 is: 7,527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.91 : 9,257.29 = 5,462.12 : x
  2. Step 2: Convert to fraction form
    6,716.91/9,257.29 = 5,462.12/x
  3. Step 3: Cross multiply
    6,716.91x = 9,257.29 × 5,462.12
  4. Step 4: Simplify right side
    6,716.91x = 50,564,469.07
  5. Step 5: Solve for x
    x = 50,564,469.07/6,716.91
  6. Step 6: Final answer
    x = 7,527.93

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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.