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Finding the Fourth Proportional to 6,649.74, 9,179.93 and 4,536.26

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Solution

The fourth proportional to 6,649.74, 9,179.93 and 4,536.26 is: 6,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.74 : 9,179.93 = 4,536.26 : x
  2. Step 2: Convert to fraction form
    6,649.74/9,179.93 = 4,536.26/x
  3. Step 3: Cross multiply
    6,649.74x = 9,179.93 × 4,536.26
  4. Step 4: Simplify right side
    6,649.74x = 41,642,480.68
  5. Step 5: Solve for x
    x = 41,642,480.68/6,649.74
  6. Step 6: Final answer
    x = 6,262.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.