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Finding the Fourth Proportional to 6,302.82, 9,455.22 and 2,143.32

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Solution

The fourth proportional to 6,302.82, 9,455.22 and 2,143.32 is: 3,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.82 : 9,455.22 = 2,143.32 : x
  2. Step 2: Convert to fraction form
    6,302.82/9,455.22 = 2,143.32/x
  3. Step 3: Cross multiply
    6,302.82x = 9,455.22 × 2,143.32
  4. Step 4: Simplify right side
    6,302.82x = 20,265,562.13
  5. Step 5: Solve for x
    x = 20,265,562.13/6,302.82
  6. Step 6: Final answer
    x = 3,215.32

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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.