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Finding the Fourth Proportional to 6,454.72, 9,682.62 and 2,293.12

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Solution

The fourth proportional to 6,454.72, 9,682.62 and 2,293.12 is: 3,439.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.72 : 9,682.62 = 2,293.12 : x
  2. Step 2: Convert to fraction form
    6,454.72/9,682.62 = 2,293.12/x
  3. Step 3: Cross multiply
    6,454.72x = 9,682.62 × 2,293.12
  4. Step 4: Simplify right side
    6,454.72x = 22,203,409.57
  5. Step 5: Solve for x
    x = 22,203,409.57/6,454.72
  6. Step 6: Final answer
    x = 3,439.87

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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.