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Finding the Fourth Proportional to 9,818.24, 13,544.71 and 5,837.09

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Solution

The fourth proportional to 9,818.24, 13,544.71 and 5,837.09 is: 8,052.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.24 : 13,544.71 = 5,837.09 : x
  2. Step 2: Convert to fraction form
    9,818.24/13,544.71 = 5,837.09/x
  3. Step 3: Cross multiply
    9,818.24x = 13,544.71 × 5,837.09
  4. Step 4: Simplify right side
    9,818.24x = 79,061,691.29
  5. Step 5: Solve for x
    x = 79,061,691.29/9,818.24
  6. Step 6: Final answer
    x = 8,052.53

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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.