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Finding the Fourth Proportional to 6,649.26, 9,173.73 and 4,130.47

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Solution

The fourth proportional to 6,649.26, 9,173.73 and 4,130.47 is: 5,698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.26 : 9,173.73 = 4,130.47 : x
  2. Step 2: Convert to fraction form
    6,649.26/9,173.73 = 4,130.47/x
  3. Step 3: Cross multiply
    6,649.26x = 9,173.73 × 4,130.47
  4. Step 4: Simplify right side
    6,649.26x = 37,891,816.55
  5. Step 5: Solve for x
    x = 37,891,816.55/6,649.26
  6. Step 6: Final answer
    x = 5,698.65

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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.