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Finding the Fourth Proportional to 9,884.48, 14,827.20 and 3,728

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Solution

The fourth proportional to 9,884.48, 14,827.20 and 3,728 is: 5,592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.48 : 14,827.20 = 3,728 : x
  2. Step 2: Convert to fraction form
    9,884.48/14,827.20 = 3,728/x
  3. Step 3: Cross multiply
    9,884.48x = 14,827.20 × 3,728
  4. Step 4: Simplify right side
    9,884.48x = 55,275,801.60
  5. Step 5: Solve for x
    x = 55,275,801.60/9,884.48
  6. Step 6: Final answer
    x = 5,592.18

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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.