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Finding the Fourth Proportional to 9,165.50, 13,744.19 and 3,900.29

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Solution

The fourth proportional to 9,165.50, 13,744.19 and 3,900.29 is: 5,848.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.50 : 13,744.19 = 3,900.29 : x
  2. Step 2: Convert to fraction form
    9,165.50/13,744.19 = 3,900.29/x
  3. Step 3: Cross multiply
    9,165.50x = 13,744.19 × 3,900.29
  4. Step 4: Simplify right side
    9,165.50x = 53,606,370.93
  5. Step 5: Solve for x
    x = 53,606,370.93/9,165.50
  6. Step 6: Final answer
    x = 5,848.72

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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.