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Finding the Fourth Proportional to 6,427.62, 9,619.50 and 5,388.79

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Solution

The fourth proportional to 6,427.62, 9,619.50 and 5,388.79 is: 8,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.62 : 9,619.50 = 5,388.79 : x
  2. Step 2: Convert to fraction form
    6,427.62/9,619.50 = 5,388.79/x
  3. Step 3: Cross multiply
    6,427.62x = 9,619.50 × 5,388.79
  4. Step 4: Simplify right side
    6,427.62x = 51,837,465.41
  5. Step 5: Solve for x
    x = 51,837,465.41/6,427.62
  6. Step 6: Final answer
    x = 8,064.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.