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Finding the Fourth Proportional to 9,134.50, 13,674.00 and 5,849.90

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Solution

The fourth proportional to 9,134.50, 13,674.00 and 5,849.90 is: 8,757.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.50 : 13,674.00 = 5,849.90 : x
  2. Step 2: Convert to fraction form
    9,134.50/13,674.00 = 5,849.90/x
  3. Step 3: Cross multiply
    9,134.50x = 13,674.00 × 5,849.90
  4. Step 4: Simplify right side
    9,134.50x = 79,991,554.54
  5. Step 5: Solve for x
    x = 79,991,554.54/9,134.50
  6. Step 6: Final answer
    x = 8,757.08

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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.