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Finding the Fourth Proportional to 6,551.92, 9,814.92 and 3,078.64

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Solution

The fourth proportional to 6,551.92, 9,814.92 and 3,078.64 is: 4,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.92 : 9,814.92 = 3,078.64 : x
  2. Step 2: Convert to fraction form
    6,551.92/9,814.92 = 3,078.64/x
  3. Step 3: Cross multiply
    6,551.92x = 9,814.92 × 3,078.64
  4. Step 4: Simplify right side
    6,551.92x = 30,216,605.31
  5. Step 5: Solve for x
    x = 30,216,605.31/6,551.92
  6. Step 6: Final answer
    x = 4,611.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.