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Finding the Fourth Proportional to 7,220.25, 9,963.95 and 3,908.25

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Solution

The fourth proportional to 7,220.25, 9,963.95 and 3,908.25 is: 5,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.25 : 9,963.95 = 3,908.25 : x
  2. Step 2: Convert to fraction form
    7,220.25/9,963.95 = 3,908.25/x
  3. Step 3: Cross multiply
    7,220.25x = 9,963.95 × 3,908.25
  4. Step 4: Simplify right side
    7,220.25x = 38,941,588.05
  5. Step 5: Solve for x
    x = 38,941,588.05/7,220.25
  6. Step 6: Final answer
    x = 5,393.39

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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.