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Finding the Fourth Proportional to 6,732.92, 9,284.36 and 5,314.26

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Solution

The fourth proportional to 6,732.92, 9,284.36 and 5,314.26 is: 7,328.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.92 : 9,284.36 = 5,314.26 : x
  2. Step 2: Convert to fraction form
    6,732.92/9,284.36 = 5,314.26/x
  3. Step 3: Cross multiply
    6,732.92x = 9,284.36 × 5,314.26
  4. Step 4: Simplify right side
    6,732.92x = 49,339,502.97
  5. Step 5: Solve for x
    x = 49,339,502.97/6,732.92
  6. Step 6: Final answer
    x = 7,328.10

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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.