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Finding the Fourth Proportional to 9,634.68, 14,451.95 and 4,956

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Solution

The fourth proportional to 9,634.68, 14,451.95 and 4,956 is: 7,433.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.68 : 14,451.95 = 4,956 : x
  2. Step 2: Convert to fraction form
    9,634.68/14,451.95 = 4,956/x
  3. Step 3: Cross multiply
    9,634.68x = 14,451.95 × 4,956
  4. Step 4: Simplify right side
    9,634.68x = 71,623,839.42
  5. Step 5: Solve for x
    x = 71,623,839.42/9,634.68
  6. Step 6: Final answer
    x = 7,433.96

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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.