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Finding the Fourth Proportional to 6,443.84, 9,648.95 and 3,516.09

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Solution

The fourth proportional to 6,443.84, 9,648.95 and 3,516.09 is: 5,264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.84 : 9,648.95 = 3,516.09 : x
  2. Step 2: Convert to fraction form
    6,443.84/9,648.95 = 3,516.09/x
  3. Step 3: Cross multiply
    6,443.84x = 9,648.95 × 3,516.09
  4. Step 4: Simplify right side
    6,443.84x = 33,926,559.03
  5. Step 5: Solve for x
    x = 33,926,559.03/6,443.84
  6. Step 6: Final answer
    x = 5,264.96

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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.