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Finding the Fourth Proportional to 9,609.09, 14,415.87 and 3,765.75

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Solution

The fourth proportional to 9,609.09, 14,415.87 and 3,765.75 is: 5,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.09 : 14,415.87 = 3,765.75 : x
  2. Step 2: Convert to fraction form
    9,609.09/14,415.87 = 3,765.75/x
  3. Step 3: Cross multiply
    9,609.09x = 14,415.87 × 3,765.75
  4. Step 4: Simplify right side
    9,609.09x = 54,286,562.45
  5. Step 5: Solve for x
    x = 54,286,562.45/9,609.09
  6. Step 6: Final answer
    x = 5,649.50

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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.