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Finding the Fourth Proportional to 9,039.86, 13,540.06 and 3,758.86

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Solution

The fourth proportional to 9,039.86, 13,540.06 and 3,758.86 is: 5,630.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,039.86 : 13,540.06 = 3,758.86 : x
  2. Step 2: Convert to fraction form
    9,039.86/13,540.06 = 3,758.86/x
  3. Step 3: Cross multiply
    9,039.86x = 13,540.06 × 3,758.86
  4. Step 4: Simplify right side
    9,039.86x = 50,895,190.41
  5. Step 5: Solve for x
    x = 50,895,190.41/9,039.86
  6. Step 6: Final answer
    x = 5,630.08

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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.