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Finding the Fourth Proportional to 6,100.81, 9,152.46 and 3,469.51

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Solution

The fourth proportional to 6,100.81, 9,152.46 and 3,469.51 is: 5,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.81 : 9,152.46 = 3,469.51 : x
  2. Step 2: Convert to fraction form
    6,100.81/9,152.46 = 3,469.51/x
  3. Step 3: Cross multiply
    6,100.81x = 9,152.46 × 3,469.51
  4. Step 4: Simplify right side
    6,100.81x = 31,754,551.49
  5. Step 5: Solve for x
    x = 31,754,551.49/6,100.81
  6. Step 6: Final answer
    x = 5,204.97

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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.