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Finding the Fourth Proportional to 9,379.40, 14,069.12 and 3,832.74

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Solution

The fourth proportional to 9,379.40, 14,069.12 and 3,832.74 is: 5,749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.40 : 14,069.12 = 3,832.74 : x
  2. Step 2: Convert to fraction form
    9,379.40/14,069.12 = 3,832.74/x
  3. Step 3: Cross multiply
    9,379.40x = 14,069.12 × 3,832.74
  4. Step 4: Simplify right side
    9,379.40x = 53,923,280.50
  5. Step 5: Solve for x
    x = 53,923,280.50/9,379.40
  6. Step 6: Final answer
    x = 5,749.12

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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.