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Finding the Fourth Proportional to 8,838.64, 13,257.96 and 3,644.38

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Solution

The fourth proportional to 8,838.64, 13,257.96 and 3,644.38 is: 5,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,838.64 : 13,257.96 = 3,644.38 : x
  2. Step 2: Convert to fraction form
    8,838.64/13,257.96 = 3,644.38/x
  3. Step 3: Cross multiply
    8,838.64x = 13,257.96 × 3,644.38
  4. Step 4: Simplify right side
    8,838.64x = 48,317,044.26
  5. Step 5: Solve for x
    x = 48,317,044.26/8,838.64
  6. Step 6: Final answer
    x = 5,466.57

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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.