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Finding the Fourth Proportional to 6,451.24, 9,662.23 and 5,284.84

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Solution

The fourth proportional to 6,451.24, 9,662.23 and 5,284.84 is: 7,915.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.24 : 9,662.23 = 5,284.84 : x
  2. Step 2: Convert to fraction form
    6,451.24/9,662.23 = 5,284.84/x
  3. Step 3: Cross multiply
    6,451.24x = 9,662.23 × 5,284.84
  4. Step 4: Simplify right side
    6,451.24x = 51,063,339.59
  5. Step 5: Solve for x
    x = 51,063,339.59/6,451.24
  6. Step 6: Final answer
    x = 7,915.28

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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.