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Finding the Fourth Proportional to 6,649.80, 9,186.50 and 5,161.48

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Solution

The fourth proportional to 6,649.80, 9,186.50 and 5,161.48 is: 7,130.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.80 : 9,186.50 = 5,161.48 : x
  2. Step 2: Convert to fraction form
    6,649.80/9,186.50 = 5,161.48/x
  3. Step 3: Cross multiply
    6,649.80x = 9,186.50 × 5,161.48
  4. Step 4: Simplify right side
    6,649.80x = 47,415,936.02
  5. Step 5: Solve for x
    x = 47,415,936.02/6,649.80
  6. Step 6: Final answer
    x = 7,130.43

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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.