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Finding the Fourth Proportional to 7,230.03, 9,977.43 and 4,086.22

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Solution

The fourth proportional to 7,230.03, 9,977.43 and 4,086.22 is: 5,638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.03 : 9,977.43 = 4,086.22 : x
  2. Step 2: Convert to fraction form
    7,230.03/9,977.43 = 4,086.22/x
  3. Step 3: Cross multiply
    7,230.03x = 9,977.43 × 4,086.22
  4. Step 4: Simplify right side
    7,230.03x = 40,769,974.01
  5. Step 5: Solve for x
    x = 40,769,974.01/7,230.03
  6. Step 6: Final answer
    x = 5,638.98

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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.