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Finding the Fourth Proportional to 8,634.72, 12,921.84 and 6,438

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Solution

The fourth proportional to 8,634.72, 12,921.84 and 6,438 is: 9,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.72 : 12,921.84 = 6,438 : x
  2. Step 2: Convert to fraction form
    8,634.72/12,921.84 = 6,438/x
  3. Step 3: Cross multiply
    8,634.72x = 12,921.84 × 6,438
  4. Step 4: Simplify right side
    8,634.72x = 83,190,805.92
  5. Step 5: Solve for x
    x = 83,190,805.92/8,634.72
  6. Step 6: Final answer
    x = 9,634.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.