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Finding the Fourth Proportional to 7,202.03, 9,943.38 and 4,937.22

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Solution

The fourth proportional to 7,202.03, 9,943.38 and 4,937.22 is: 6,816.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.03 : 9,943.38 = 4,937.22 : x
  2. Step 2: Convert to fraction form
    7,202.03/9,943.38 = 4,937.22/x
  3. Step 3: Cross multiply
    7,202.03x = 9,943.38 × 4,937.22
  4. Step 4: Simplify right side
    7,202.03x = 49,092,654.60
  5. Step 5: Solve for x
    x = 49,092,654.60/7,202.03
  6. Step 6: Final answer
    x = 6,816.51

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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.