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Finding the Fourth Proportional to 6,486.89, 8,952.71 and 3,969.36

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Solution

The fourth proportional to 6,486.89, 8,952.71 and 3,969.36 is: 5,478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.89 : 8,952.71 = 3,969.36 : x
  2. Step 2: Convert to fraction form
    6,486.89/8,952.71 = 3,969.36/x
  3. Step 3: Cross multiply
    6,486.89x = 8,952.71 × 3,969.36
  4. Step 4: Simplify right side
    6,486.89x = 35,536,509.12
  5. Step 5: Solve for x
    x = 35,536,509.12/6,486.89
  6. Step 6: Final answer
    x = 5,478.21

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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.