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Finding the Fourth Proportional to 9,633.97, 13,297.13 and 6,270.95

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Solution

The fourth proportional to 9,633.97, 13,297.13 and 6,270.95 is: 8,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.97 : 13,297.13 = 6,270.95 : x
  2. Step 2: Convert to fraction form
    9,633.97/13,297.13 = 6,270.95/x
  3. Step 3: Cross multiply
    9,633.97x = 13,297.13 × 6,270.95
  4. Step 4: Simplify right side
    9,633.97x = 83,385,662.78
  5. Step 5: Solve for x
    x = 83,385,662.78/9,633.97
  6. Step 6: Final answer
    x = 8,655.38

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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.