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Finding the Fourth Proportional to 6,883.88, 9,499.94 and 3,740.28

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Solution

The fourth proportional to 6,883.88, 9,499.94 and 3,740.28 is: 5,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.88 : 9,499.94 = 3,740.28 : x
  2. Step 2: Convert to fraction form
    6,883.88/9,499.94 = 3,740.28/x
  3. Step 3: Cross multiply
    6,883.88x = 9,499.94 × 3,740.28
  4. Step 4: Simplify right side
    6,883.88x = 35,532,435.58
  5. Step 5: Solve for x
    x = 35,532,435.58/6,883.88
  6. Step 6: Final answer
    x = 5,161.69

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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.