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Finding the Fourth Proportional to 9,962.69, 14,952.75 and 5,286.15

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Solution

The fourth proportional to 9,962.69, 14,952.75 and 5,286.15 is: 7,933.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.69 : 14,952.75 = 5,286.15 : x
  2. Step 2: Convert to fraction form
    9,962.69/14,952.75 = 5,286.15/x
  3. Step 3: Cross multiply
    9,962.69x = 14,952.75 × 5,286.15
  4. Step 4: Simplify right side
    9,962.69x = 79,042,528.88
  5. Step 5: Solve for x
    x = 79,042,528.88/9,962.69
  6. Step 6: Final answer
    x = 7,933.86

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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.