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Finding the Fourth Proportional to 9,042.24, 13,563.09 and 8,796

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Solution

The fourth proportional to 9,042.24, 13,563.09 and 8,796 is: 13,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.24 : 13,563.09 = 8,796 : x
  2. Step 2: Convert to fraction form
    9,042.24/13,563.09 = 8,796/x
  3. Step 3: Cross multiply
    9,042.24x = 13,563.09 × 8,796
  4. Step 4: Simplify right side
    9,042.24x = 119,300,939.64
  5. Step 5: Solve for x
    x = 119,300,939.64/9,042.24
  6. Step 6: Final answer
    x = 13,193.74

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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.