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Finding the Fourth Proportional to 9,628.68, 14,418 and 8,250.84

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Solution

The fourth proportional to 9,628.68, 14,418 and 8,250.84 is: 12,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.68 : 14,418 = 8,250.84 : x
  2. Step 2: Convert to fraction form
    9,628.68/14,418 = 8,250.84/x
  3. Step 3: Cross multiply
    9,628.68x = 14,418 × 8,250.84
  4. Step 4: Simplify right side
    9,628.68x = 118,960,611.12
  5. Step 5: Solve for x
    x = 118,960,611.12/9,628.68
  6. Step 6: Final answer
    x = 12,354.82

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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.