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Finding the Fourth Proportional to 9,811.22, 14,698.29 and 7,593.85

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Solution

The fourth proportional to 9,811.22, 14,698.29 and 7,593.85 is: 11,376.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.22 : 14,698.29 = 7,593.85 : x
  2. Step 2: Convert to fraction form
    9,811.22/14,698.29 = 7,593.85/x
  3. Step 3: Cross multiply
    9,811.22x = 14,698.29 × 7,593.85
  4. Step 4: Simplify right side
    9,811.22x = 111,616,609.52
  5. Step 5: Solve for x
    x = 111,616,609.52/9,811.22
  6. Step 6: Final answer
    x = 11,376.43

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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.