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Finding the Fourth Proportional to 6,625.68, 9,141.60 and 4,110

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Solution

The fourth proportional to 6,625.68, 9,141.60 and 4,110 is: 5,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.68 : 9,141.60 = 4,110 : x
  2. Step 2: Convert to fraction form
    6,625.68/9,141.60 = 4,110/x
  3. Step 3: Cross multiply
    6,625.68x = 9,141.60 × 4,110
  4. Step 4: Simplify right side
    6,625.68x = 37,571,976
  5. Step 5: Solve for x
    x = 37,571,976/6,625.68
  6. Step 6: Final answer
    x = 5,670.66

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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.