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Finding the Fourth Proportional to 9,379.70, 12,941.20 and 5,400.71

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Solution

The fourth proportional to 9,379.70, 12,941.20 and 5,400.71 is: 7,451.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.70 : 12,941.20 = 5,400.71 : x
  2. Step 2: Convert to fraction form
    9,379.70/12,941.20 = 5,400.71/x
  3. Step 3: Cross multiply
    9,379.70x = 12,941.20 × 5,400.71
  4. Step 4: Simplify right side
    9,379.70x = 69,891,658.83
  5. Step 5: Solve for x
    x = 69,891,658.83/9,379.70
  6. Step 6: Final answer
    x = 7,451.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.