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Finding the Fourth Proportional to 6,833.22, 9,430.20 and 4,180.47

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Solution

The fourth proportional to 6,833.22, 9,430.20 and 4,180.47 is: 5,769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.22 : 9,430.20 = 4,180.47 : x
  2. Step 2: Convert to fraction form
    6,833.22/9,430.20 = 4,180.47/x
  3. Step 3: Cross multiply
    6,833.22x = 9,430.20 × 4,180.47
  4. Step 4: Simplify right side
    6,833.22x = 39,422,668.19
  5. Step 5: Solve for x
    x = 39,422,668.19/6,833.22
  6. Step 6: Final answer
    x = 5,769.27

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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.