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Finding the Fourth Proportional to 6,864.06, 9,472.41 and 3,720.23

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Solution

The fourth proportional to 6,864.06, 9,472.41 and 3,720.23 is: 5,133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.06 : 9,472.41 = 3,720.23 : x
  2. Step 2: Convert to fraction form
    6,864.06/9,472.41 = 3,720.23/x
  3. Step 3: Cross multiply
    6,864.06x = 9,472.41 × 3,720.23
  4. Step 4: Simplify right side
    6,864.06x = 35,239,496.49
  5. Step 5: Solve for x
    x = 35,239,496.49/6,864.06
  6. Step 6: Final answer
    x = 5,133.91

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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.