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Finding the Fourth Proportional to 9,227.90, 13,844.04 and 2,987.91

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Solution

The fourth proportional to 9,227.90, 13,844.04 and 2,987.91 is: 4,482.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.90 : 13,844.04 = 2,987.91 : x
  2. Step 2: Convert to fraction form
    9,227.90/13,844.04 = 2,987.91/x
  3. Step 3: Cross multiply
    9,227.90x = 13,844.04 × 2,987.91
  4. Step 4: Simplify right side
    9,227.90x = 41,364,745.56
  5. Step 5: Solve for x
    x = 41,364,745.56/9,227.90
  6. Step 6: Final answer
    x = 4,482.57

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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.