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Finding the Fourth Proportional to 6,674.90, 9,213.26 and 4,022.47

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Solution

The fourth proportional to 6,674.90, 9,213.26 and 4,022.47 is: 5,552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.90 : 9,213.26 = 4,022.47 : x
  2. Step 2: Convert to fraction form
    6,674.90/9,213.26 = 4,022.47/x
  3. Step 3: Cross multiply
    6,674.90x = 9,213.26 × 4,022.47
  4. Step 4: Simplify right side
    6,674.90x = 37,060,061.95
  5. Step 5: Solve for x
    x = 37,060,061.95/6,674.90
  6. Step 6: Final answer
    x = 5,552.15

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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.