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Finding the Fourth Proportional to 6,842.20, 9,443.04 and 4,189.96

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Solution

The fourth proportional to 6,842.20, 9,443.04 and 4,189.96 is: 5,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.20 : 9,443.04 = 4,189.96 : x
  2. Step 2: Convert to fraction form
    6,842.20/9,443.04 = 4,189.96/x
  3. Step 3: Cross multiply
    6,842.20x = 9,443.04 × 4,189.96
  4. Step 4: Simplify right side
    6,842.20x = 39,565,959.88
  5. Step 5: Solve for x
    x = 39,565,959.88/6,842.20
  6. Step 6: Final answer
    x = 5,782.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.