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Finding the Fourth Proportional to 8,933.50, 13,406.39 and 3,090.12

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Solution

The fourth proportional to 8,933.50, 13,406.39 and 3,090.12 is: 4,637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,933.50 : 13,406.39 = 3,090.12 : x
  2. Step 2: Convert to fraction form
    8,933.50/13,406.39 = 3,090.12/x
  3. Step 3: Cross multiply
    8,933.50x = 13,406.39 × 3,090.12
  4. Step 4: Simplify right side
    8,933.50x = 41,427,353.87
  5. Step 5: Solve for x
    x = 41,427,353.87/8,933.50
  6. Step 6: Final answer
    x = 4,637.30

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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.