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Finding the Fourth Proportional to 9,563.99, 13,198.26 and 5,257.18

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Solution

The fourth proportional to 9,563.99, 13,198.26 and 5,257.18 is: 7,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.99 : 13,198.26 = 5,257.18 : x
  2. Step 2: Convert to fraction form
    9,563.99/13,198.26 = 5,257.18/x
  3. Step 3: Cross multiply
    9,563.99x = 13,198.26 × 5,257.18
  4. Step 4: Simplify right side
    9,563.99x = 69,385,602.22
  5. Step 5: Solve for x
    x = 69,385,602.22/9,563.99
  6. Step 6: Final answer
    x = 7,254.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.