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Finding the Fourth Proportional to 7,135.21, 9,847.02 and 3,991.42

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Solution

The fourth proportional to 7,135.21, 9,847.02 and 3,991.42 is: 5,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.21 : 9,847.02 = 3,991.42 : x
  2. Step 2: Convert to fraction form
    7,135.21/9,847.02 = 3,991.42/x
  3. Step 3: Cross multiply
    7,135.21x = 9,847.02 × 3,991.42
  4. Step 4: Simplify right side
    7,135.21x = 39,303,592.57
  5. Step 5: Solve for x
    x = 39,303,592.57/7,135.21
  6. Step 6: Final answer
    x = 5,508.40

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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.