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Finding the Fourth Proportional to 9,147.90, 12,624.64 and 5,169.62

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Solution

The fourth proportional to 9,147.90, 12,624.64 and 5,169.62 is: 7,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.90 : 12,624.64 = 5,169.62 : x
  2. Step 2: Convert to fraction form
    9,147.90/12,624.64 = 5,169.62/x
  3. Step 3: Cross multiply
    9,147.90x = 12,624.64 × 5,169.62
  4. Step 4: Simplify right side
    9,147.90x = 65,264,591.44
  5. Step 5: Solve for x
    x = 65,264,591.44/9,147.90
  6. Step 6: Final answer
    x = 7,134.38

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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.