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Finding the Fourth Proportional to 6,540.28, 9,810.42 and 2,842.36

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Solution

The fourth proportional to 6,540.28, 9,810.42 and 2,842.36 is: 4,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.28 : 9,810.42 = 2,842.36 : x
  2. Step 2: Convert to fraction form
    6,540.28/9,810.42 = 2,842.36/x
  3. Step 3: Cross multiply
    6,540.28x = 9,810.42 × 2,842.36
  4. Step 4: Simplify right side
    6,540.28x = 27,884,745.39
  5. Step 5: Solve for x
    x = 27,884,745.39/6,540.28
  6. Step 6: Final answer
    x = 4,263.54

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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.