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Finding the Fourth Proportional to 8,935.10, 13,402.77 and 6,161.03

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Solution

The fourth proportional to 8,935.10, 13,402.77 and 6,161.03 is: 9,241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,935.10 : 13,402.77 = 6,161.03 : x
  2. Step 2: Convert to fraction form
    8,935.10/13,402.77 = 6,161.03/x
  3. Step 3: Cross multiply
    8,935.10x = 13,402.77 × 6,161.03
  4. Step 4: Simplify right side
    8,935.10x = 82,574,868.05
  5. Step 5: Solve for x
    x = 82,574,868.05/8,935.10
  6. Step 6: Final answer
    x = 9,241.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.