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Finding the Fourth Proportional to 6,797.20, 9,387.26 and 4,678.20

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Solution

The fourth proportional to 6,797.20, 9,387.26 and 4,678.20 is: 6,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.20 : 9,387.26 = 4,678.20 : x
  2. Step 2: Convert to fraction form
    6,797.20/9,387.26 = 4,678.20/x
  3. Step 3: Cross multiply
    6,797.20x = 9,387.26 × 4,678.20
  4. Step 4: Simplify right side
    6,797.20x = 43,915,491.43
  5. Step 5: Solve for x
    x = 43,915,491.43/6,797.20
  6. Step 6: Final answer
    x = 6,460.82

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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.