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Finding the Fourth Proportional to 6,396.49, 8,827.80 and 3,564.32

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Solution

The fourth proportional to 6,396.49, 8,827.80 and 3,564.32 is: 4,919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.49 : 8,827.80 = 3,564.32 : x
  2. Step 2: Convert to fraction form
    6,396.49/8,827.80 = 3,564.32/x
  3. Step 3: Cross multiply
    6,396.49x = 8,827.80 × 3,564.32
  4. Step 4: Simplify right side
    6,396.49x = 31,465,086.27
  5. Step 5: Solve for x
    x = 31,465,086.27/6,396.49
  6. Step 6: Final answer
    x = 4,919.12

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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.