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Finding the Fourth Proportional to 6,466.08, 8,922.60 and 3,632.80

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Solution

The fourth proportional to 6,466.08, 8,922.60 and 3,632.80 is: 5,012.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.08 : 8,922.60 = 3,632.80 : x
  2. Step 2: Convert to fraction form
    6,466.08/8,922.60 = 3,632.80/x
  3. Step 3: Cross multiply
    6,466.08x = 8,922.60 × 3,632.80
  4. Step 4: Simplify right side
    6,466.08x = 32,414,021.28
  5. Step 5: Solve for x
    x = 32,414,021.28/6,466.08
  6. Step 6: Final answer
    x = 5,012.93

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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.