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Finding the Fourth Proportional to 9,145.98, 12,620.21 and 5,608.44

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Solution

The fourth proportional to 9,145.98, 12,620.21 and 5,608.44 is: 7,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.98 : 12,620.21 = 5,608.44 : x
  2. Step 2: Convert to fraction form
    9,145.98/12,620.21 = 5,608.44/x
  3. Step 3: Cross multiply
    9,145.98x = 12,620.21 × 5,608.44
  4. Step 4: Simplify right side
    9,145.98x = 70,779,662.53
  5. Step 5: Solve for x
    x = 70,779,662.53/9,145.98
  6. Step 6: Final answer
    x = 7,738.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.