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Finding the Fourth Proportional to 9,905.26, 14,855.56 and 2,883.64

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Solution

The fourth proportional to 9,905.26, 14,855.56 and 2,883.64 is: 4,324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.26 : 14,855.56 = 2,883.64 : x
  2. Step 2: Convert to fraction form
    9,905.26/14,855.56 = 2,883.64/x
  3. Step 3: Cross multiply
    9,905.26x = 14,855.56 × 2,883.64
  4. Step 4: Simplify right side
    9,905.26x = 42,838,087.04
  5. Step 5: Solve for x
    x = 42,838,087.04/9,905.26
  6. Step 6: Final answer
    x = 4,324.78

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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.