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Finding the Fourth Proportional to 6,338.64, 9,504.54 and 2,874

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Solution

The fourth proportional to 6,338.64, 9,504.54 and 2,874 is: 4,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.64 : 9,504.54 = 2,874 : x
  2. Step 2: Convert to fraction form
    6,338.64/9,504.54 = 2,874/x
  3. Step 3: Cross multiply
    6,338.64x = 9,504.54 × 2,874
  4. Step 4: Simplify right side
    6,338.64x = 27,316,047.96
  5. Step 5: Solve for x
    x = 27,316,047.96/6,338.64
  6. Step 6: Final answer
    x = 4,309.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.