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Finding the Fourth Proportional to 6,435.09, 9,649.54 and 3,144.33

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Solution

The fourth proportional to 6,435.09, 9,649.54 and 3,144.33 is: 4,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.09 : 9,649.54 = 3,144.33 : x
  2. Step 2: Convert to fraction form
    6,435.09/9,649.54 = 3,144.33/x
  3. Step 3: Cross multiply
    6,435.09x = 9,649.54 × 3,144.33
  4. Step 4: Simplify right side
    6,435.09x = 30,341,338.11
  5. Step 5: Solve for x
    x = 30,341,338.11/6,435.09
  6. Step 6: Final answer
    x = 4,714.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.