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Finding the Fourth Proportional to 6,433.64, 9,639.45 and 3,513.99

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Solution

The fourth proportional to 6,433.64, 9,639.45 and 3,513.99 is: 5,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.64 : 9,639.45 = 3,513.99 : x
  2. Step 2: Convert to fraction form
    6,433.64/9,639.45 = 3,513.99/x
  3. Step 3: Cross multiply
    6,433.64x = 9,639.45 × 3,513.99
  4. Step 4: Simplify right side
    6,433.64x = 33,872,930.91
  5. Step 5: Solve for x
    x = 33,872,930.91/6,433.64
  6. Step 6: Final answer
    x = 5,264.97

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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.