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Finding the Fourth Proportional to 9,078.62, 12,529.85 and 5,543.88

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Solution

The fourth proportional to 9,078.62, 12,529.85 and 5,543.88 is: 7,651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.62 : 12,529.85 = 5,543.88 : x
  2. Step 2: Convert to fraction form
    9,078.62/12,529.85 = 5,543.88/x
  3. Step 3: Cross multiply
    9,078.62x = 12,529.85 × 5,543.88
  4. Step 4: Simplify right side
    9,078.62x = 69,463,984.82
  5. Step 5: Solve for x
    x = 69,463,984.82/9,078.62
  6. Step 6: Final answer
    x = 7,651.38

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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.