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Finding the Fourth Proportional to 9,765.68, 14,649.21 and 3,922.29

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Solution

The fourth proportional to 9,765.68, 14,649.21 and 3,922.29 is: 5,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.68 : 14,649.21 = 3,922.29 : x
  2. Step 2: Convert to fraction form
    9,765.68/14,649.21 = 3,922.29/x
  3. Step 3: Cross multiply
    9,765.68x = 14,649.21 × 3,922.29
  4. Step 4: Simplify right side
    9,765.68x = 57,458,430.28
  5. Step 5: Solve for x
    x = 57,458,430.28/9,765.68
  6. Step 6: Final answer
    x = 5,883.71

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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.