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Finding the Fourth Proportional to 6,760.81, 9,323.83 and 4,243.20

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Solution

The fourth proportional to 6,760.81, 9,323.83 and 4,243.20 is: 5,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.81 : 9,323.83 = 4,243.20 : x
  2. Step 2: Convert to fraction form
    6,760.81/9,323.83 = 4,243.20/x
  3. Step 3: Cross multiply
    6,760.81x = 9,323.83 × 4,243.20
  4. Step 4: Simplify right side
    6,760.81x = 39,562,875.46
  5. Step 5: Solve for x
    x = 39,562,875.46/6,760.81
  6. Step 6: Final answer
    x = 5,851.80

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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.