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Finding the Fourth Proportional to 6,864.40, 9,472.88 and 3,720.56

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Solution

The fourth proportional to 6,864.40, 9,472.88 and 3,720.56 is: 5,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.40 : 9,472.88 = 3,720.56 : x
  2. Step 2: Convert to fraction form
    6,864.40/9,472.88 = 3,720.56/x
  3. Step 3: Cross multiply
    6,864.40x = 9,472.88 × 3,720.56
  4. Step 4: Simplify right side
    6,864.40x = 35,244,418.41
  5. Step 5: Solve for x
    x = 35,244,418.41/6,864.40
  6. Step 6: Final answer
    x = 5,134.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.