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Finding the Fourth Proportional to 6,135.68, 9,189.50 and 4,816.43

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Solution

The fourth proportional to 6,135.68, 9,189.50 and 4,816.43 is: 7,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.68 : 9,189.50 = 4,816.43 : x
  2. Step 2: Convert to fraction form
    6,135.68/9,189.50 = 4,816.43/x
  3. Step 3: Cross multiply
    6,135.68x = 9,189.50 × 4,816.43
  4. Step 4: Simplify right side
    6,135.68x = 44,260,513.46
  5. Step 5: Solve for x
    x = 44,260,513.46/6,135.68
  6. Step 6: Final answer
    x = 7,213.63

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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.