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Finding the Fourth Proportional to 9,649.26, 14,476.05 and 4,107.33

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Solution

The fourth proportional to 9,649.26, 14,476.05 and 4,107.33 is: 6,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.26 : 14,476.05 = 4,107.33 : x
  2. Step 2: Convert to fraction form
    9,649.26/14,476.05 = 4,107.33/x
  3. Step 3: Cross multiply
    9,649.26x = 14,476.05 × 4,107.33
  4. Step 4: Simplify right side
    9,649.26x = 59,457,914.45
  5. Step 5: Solve for x
    x = 59,457,914.45/9,649.26
  6. Step 6: Final answer
    x = 6,161.91

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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.