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Finding the Fourth Proportional to 6,271.28, 9,407.04 and 1,829.27

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Solution

The fourth proportional to 6,271.28, 9,407.04 and 1,829.27 is: 2,743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.28 : 9,407.04 = 1,829.27 : x
  2. Step 2: Convert to fraction form
    6,271.28/9,407.04 = 1,829.27/x
  3. Step 3: Cross multiply
    6,271.28x = 9,407.04 × 1,829.27
  4. Step 4: Simplify right side
    6,271.28x = 17,207,969.03
  5. Step 5: Solve for x
    x = 17,207,969.03/6,271.28
  6. Step 6: Final answer
    x = 2,743.93

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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.