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Finding the Fourth Proportional to 6,615.49, 9,126.22 and 3,962.38

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Solution

The fourth proportional to 6,615.49, 9,126.22 and 3,962.38 is: 5,466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.49 : 9,126.22 = 3,962.38 : x
  2. Step 2: Convert to fraction form
    6,615.49/9,126.22 = 3,962.38/x
  3. Step 3: Cross multiply
    6,615.49x = 9,126.22 × 3,962.38
  4. Step 4: Simplify right side
    6,615.49x = 36,161,551.60
  5. Step 5: Solve for x
    x = 36,161,551.60/6,615.49
  6. Step 6: Final answer
    x = 5,466.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.