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Finding the Fourth Proportional to 6,161.56, 9,243.78 and 4,214.68

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Solution

The fourth proportional to 6,161.56, 9,243.78 and 4,214.68 is: 6,323.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.56 : 9,243.78 = 4,214.68 : x
  2. Step 2: Convert to fraction form
    6,161.56/9,243.78 = 4,214.68/x
  3. Step 3: Cross multiply
    6,161.56x = 9,243.78 × 4,214.68
  4. Step 4: Simplify right side
    6,161.56x = 38,959,574.69
  5. Step 5: Solve for x
    x = 38,959,574.69/6,161.56
  6. Step 6: Final answer
    x = 6,323.01

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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.