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Finding the Fourth Proportional to 9,265.10, 13,883.71 and 5,563.29

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Solution

The fourth proportional to 9,265.10, 13,883.71 and 5,563.29 is: 8,336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.10 : 13,883.71 = 5,563.29 : x
  2. Step 2: Convert to fraction form
    9,265.10/13,883.71 = 5,563.29/x
  3. Step 3: Cross multiply
    9,265.10x = 13,883.71 × 5,563.29
  4. Step 4: Simplify right side
    9,265.10x = 77,239,105.01
  5. Step 5: Solve for x
    x = 77,239,105.01/9,265.10
  6. Step 6: Final answer
    x = 8,336.56

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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.