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Finding the Fourth Proportional to 9,635.09, 14,431.50 and 5,926.03

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Solution

The fourth proportional to 9,635.09, 14,431.50 and 5,926.03 is: 8,876.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.09 : 14,431.50 = 5,926.03 : x
  2. Step 2: Convert to fraction form
    9,635.09/14,431.50 = 5,926.03/x
  3. Step 3: Cross multiply
    9,635.09x = 14,431.50 × 5,926.03
  4. Step 4: Simplify right side
    9,635.09x = 85,521,465.87
  5. Step 5: Solve for x
    x = 85,521,465.87/9,635.09
  6. Step 6: Final answer
    x = 8,876.05

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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.