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Finding the Fourth Proportional to 9,822.54, 14,735.64 and 3,983.28

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Solution

The fourth proportional to 9,822.54, 14,735.64 and 3,983.28 is: 5,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.54 : 14,735.64 = 3,983.28 : x
  2. Step 2: Convert to fraction form
    9,822.54/14,735.64 = 3,983.28/x
  3. Step 3: Cross multiply
    9,822.54x = 14,735.64 × 3,983.28
  4. Step 4: Simplify right side
    9,822.54x = 58,696,180.10
  5. Step 5: Solve for x
    x = 58,696,180.10/9,822.54
  6. Step 6: Final answer
    x = 5,975.66

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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.