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Finding the Fourth Proportional to 9,734.18, 13,424.89 and 8,229.08

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Solution

The fourth proportional to 9,734.18, 13,424.89 and 8,229.08 is: 11,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.18 : 13,424.89 = 8,229.08 : x
  2. Step 2: Convert to fraction form
    9,734.18/13,424.89 = 8,229.08/x
  3. Step 3: Cross multiply
    9,734.18x = 13,424.89 × 8,229.08
  4. Step 4: Simplify right side
    9,734.18x = 110,474,406.10
  5. Step 5: Solve for x
    x = 110,474,406.10/9,734.18
  6. Step 6: Final answer
    x = 11,349.13

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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.