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Finding the Fourth Proportional to 6,864.05, 9,472.41 and 3,720.24

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Solution

The fourth proportional to 6,864.05, 9,472.41 and 3,720.24 is: 5,133.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.05 : 9,472.41 = 3,720.24 : x
  2. Step 2: Convert to fraction form
    6,864.05/9,472.41 = 3,720.24/x
  3. Step 3: Cross multiply
    6,864.05x = 9,472.41 × 3,720.24
  4. Step 4: Simplify right side
    6,864.05x = 35,239,638.58
  5. Step 5: Solve for x
    x = 35,239,638.58/6,864.05
  6. Step 6: Final answer
    x = 5,133.94

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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.