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Finding the Fourth Proportional to 6,270.57, 9,403.67 and 1,827.02

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Solution

The fourth proportional to 6,270.57, 9,403.67 and 1,827.02 is: 2,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.57 : 9,403.67 = 1,827.02 : x
  2. Step 2: Convert to fraction form
    6,270.57/9,403.67 = 1,827.02/x
  3. Step 3: Cross multiply
    6,270.57x = 9,403.67 × 1,827.02
  4. Step 4: Simplify right side
    6,270.57x = 17,180,637.01
  5. Step 5: Solve for x
    x = 17,180,637.01/6,270.57
  6. Step 6: Final answer
    x = 2,739.88

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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.