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Finding the Fourth Proportional to 9,230.66, 13,844.43 and 2,655.32

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Solution

The fourth proportional to 9,230.66, 13,844.43 and 2,655.32 is: 3,982.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.66 : 13,844.43 = 2,655.32 : x
  2. Step 2: Convert to fraction form
    9,230.66/13,844.43 = 2,655.32/x
  3. Step 3: Cross multiply
    9,230.66x = 13,844.43 × 2,655.32
  4. Step 4: Simplify right side
    9,230.66x = 36,761,322.65
  5. Step 5: Solve for x
    x = 36,761,322.65/9,230.66
  6. Step 6: Final answer
    x = 3,982.53

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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.