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Finding the Fourth Proportional to 6,628.52, 9,147.72 and 3,834.92

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Solution

The fourth proportional to 6,628.52, 9,147.72 and 3,834.92 is: 5,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.52 : 9,147.72 = 3,834.92 : x
  2. Step 2: Convert to fraction form
    6,628.52/9,147.72 = 3,834.92/x
  3. Step 3: Cross multiply
    6,628.52x = 9,147.72 × 3,834.92
  4. Step 4: Simplify right side
    6,628.52x = 35,080,774.38
  5. Step 5: Solve for x
    x = 35,080,774.38/6,628.52
  6. Step 6: Final answer
    x = 5,292.40

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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.