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Finding the Fourth Proportional to 6,340.71, 9,513.09 and 2,643.33

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Solution

The fourth proportional to 6,340.71, 9,513.09 and 2,643.33 is: 3,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.71 : 9,513.09 = 2,643.33 : x
  2. Step 2: Convert to fraction form
    6,340.71/9,513.09 = 2,643.33/x
  3. Step 3: Cross multiply
    6,340.71x = 9,513.09 × 2,643.33
  4. Step 4: Simplify right side
    6,340.71x = 25,146,236.19
  5. Step 5: Solve for x
    x = 25,146,236.19/6,340.71
  6. Step 6: Final answer
    x = 3,965.84

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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.