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Finding the Fourth Proportional to 9,508.50, 13,127.49 and 6,202.26

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Solution

The fourth proportional to 9,508.50, 13,127.49 and 6,202.26 is: 8,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.50 : 13,127.49 = 6,202.26 : x
  2. Step 2: Convert to fraction form
    9,508.50/13,127.49 = 6,202.26/x
  3. Step 3: Cross multiply
    9,508.50x = 13,127.49 × 6,202.26
  4. Step 4: Simplify right side
    9,508.50x = 81,420,106.13
  5. Step 5: Solve for x
    x = 81,420,106.13/9,508.50
  6. Step 6: Final answer
    x = 8,562.88

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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.