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Finding the Fourth Proportional to 6,635.16, 9,152.73 and 4,146.84

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Solution

The fourth proportional to 6,635.16, 9,152.73 and 4,146.84 is: 5,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.16 : 9,152.73 = 4,146.84 : x
  2. Step 2: Convert to fraction form
    6,635.16/9,152.73 = 4,146.84/x
  3. Step 3: Cross multiply
    6,635.16x = 9,152.73 × 4,146.84
  4. Step 4: Simplify right side
    6,635.16x = 37,954,906.87
  5. Step 5: Solve for x
    x = 37,954,906.87/6,635.16
  6. Step 6: Final answer
    x = 5,720.27

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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.