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Finding the Fourth Proportional to 9,649.26, 14,475.62 and 3,412.88

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Solution

The fourth proportional to 9,649.26, 14,475.62 and 3,412.88 is: 5,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.26 : 14,475.62 = 3,412.88 : x
  2. Step 2: Convert to fraction form
    9,649.26/14,475.62 = 3,412.88/x
  3. Step 3: Cross multiply
    9,649.26x = 14,475.62 × 3,412.88
  4. Step 4: Simplify right side
    9,649.26x = 49,403,553.99
  5. Step 5: Solve for x
    x = 49,403,553.99/9,649.26
  6. Step 6: Final answer
    x = 5,119.93

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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.