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Finding the Fourth Proportional to 6,445.69, 8,896.67 and 3,960.25

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Solution

The fourth proportional to 6,445.69, 8,896.67 and 3,960.25 is: 5,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.69 : 8,896.67 = 3,960.25 : x
  2. Step 2: Convert to fraction form
    6,445.69/8,896.67 = 3,960.25/x
  3. Step 3: Cross multiply
    6,445.69x = 8,896.67 × 3,960.25
  4. Step 4: Simplify right side
    6,445.69x = 35,233,017.57
  5. Step 5: Solve for x
    x = 35,233,017.57/6,445.69
  6. Step 6: Final answer
    x = 5,466.14

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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.