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Finding the Fourth Proportional to 6,418.49, 9,627.71 and 5,128.16

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Solution

The fourth proportional to 6,418.49, 9,627.71 and 5,128.16 is: 7,692.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.49 : 9,627.71 = 5,128.16 : x
  2. Step 2: Convert to fraction form
    6,418.49/9,627.71 = 5,128.16/x
  3. Step 3: Cross multiply
    6,418.49x = 9,627.71 × 5,128.16
  4. Step 4: Simplify right side
    6,418.49x = 49,372,363.53
  5. Step 5: Solve for x
    x = 49,372,363.53/6,418.49
  6. Step 6: Final answer
    x = 7,692.21

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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.