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Finding the Fourth Proportional to 7,206.81, 9,943.88 and 4,375.68

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Solution

The fourth proportional to 7,206.81, 9,943.88 and 4,375.68 is: 6,037.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.81 : 9,943.88 = 4,375.68 : x
  2. Step 2: Convert to fraction form
    7,206.81/9,943.88 = 4,375.68/x
  3. Step 3: Cross multiply
    7,206.81x = 9,943.88 × 4,375.68
  4. Step 4: Simplify right side
    7,206.81x = 43,511,165.24
  5. Step 5: Solve for x
    x = 43,511,165.24/7,206.81
  6. Step 6: Final answer
    x = 6,037.51

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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.