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Finding the Fourth Proportional to 9,634.38, 14,454.48 and 6,828.64

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Solution

The fourth proportional to 9,634.38, 14,454.48 and 6,828.64 is: 10,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.38 : 14,454.48 = 6,828.64 : x
  2. Step 2: Convert to fraction form
    9,634.38/14,454.48 = 6,828.64/x
  3. Step 3: Cross multiply
    9,634.38x = 14,454.48 × 6,828.64
  4. Step 4: Simplify right side
    9,634.38x = 98,704,440.31
  5. Step 5: Solve for x
    x = 98,704,440.31/9,634.38
  6. Step 6: Final answer
    x = 10,245.02

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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.