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Finding the Fourth Proportional to 9,806.05, 13,531.32 and 5,826.62

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Solution

The fourth proportional to 9,806.05, 13,531.32 and 5,826.62 is: 8,040.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.05 : 13,531.32 = 5,826.62 : x
  2. Step 2: Convert to fraction form
    9,806.05/13,531.32 = 5,826.62/x
  3. Step 3: Cross multiply
    9,806.05x = 13,531.32 × 5,826.62
  4. Step 4: Simplify right side
    9,806.05x = 78,841,859.74
  5. Step 5: Solve for x
    x = 78,841,859.74/9,806.05
  6. Step 6: Final answer
    x = 8,040.12

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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.