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Finding the Fourth Proportional to 9,165.15, 13,744.24 and 3,902.65

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Solution

The fourth proportional to 9,165.15, 13,744.24 and 3,902.65 is: 5,852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.15 : 13,744.24 = 3,902.65 : x
  2. Step 2: Convert to fraction form
    9,165.15/13,744.24 = 3,902.65/x
  3. Step 3: Cross multiply
    9,165.15x = 13,744.24 × 3,902.65
  4. Step 4: Simplify right side
    9,165.15x = 53,638,914.12
  5. Step 5: Solve for x
    x = 53,638,914.12/9,165.15
  6. Step 6: Final answer
    x = 5,852.49

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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.