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Finding the Fourth Proportional to 6,542.48, 9,806.16 and 2,844.02

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Solution

The fourth proportional to 6,542.48, 9,806.16 and 2,844.02 is: 4,262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.48 : 9,806.16 = 2,844.02 : x
  2. Step 2: Convert to fraction form
    6,542.48/9,806.16 = 2,844.02/x
  3. Step 3: Cross multiply
    6,542.48x = 9,806.16 × 2,844.02
  4. Step 4: Simplify right side
    6,542.48x = 27,888,915.16
  5. Step 5: Solve for x
    x = 27,888,915.16/6,542.48
  6. Step 6: Final answer
    x = 4,262.74

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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.