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Finding the Fourth Proportional to 9,379.50, 14,064.47 and 3,137.27

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Solution

The fourth proportional to 9,379.50, 14,064.47 and 3,137.27 is: 4,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.50 : 14,064.47 = 3,137.27 : x
  2. Step 2: Convert to fraction form
    9,379.50/14,064.47 = 3,137.27/x
  3. Step 3: Cross multiply
    9,379.50x = 14,064.47 × 3,137.27
  4. Step 4: Simplify right side
    9,379.50x = 44,123,965.55
  5. Step 5: Solve for x
    x = 44,123,965.55/9,379.50
  6. Step 6: Final answer
    x = 4,704.30

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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.