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Finding the Fourth Proportional to 9,806.35, 13,535.52 and 8,042.17

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Solution

The fourth proportional to 9,806.35, 13,535.52 and 8,042.17 is: 11,100.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.35 : 13,535.52 = 8,042.17 : x
  2. Step 2: Convert to fraction form
    9,806.35/13,535.52 = 8,042.17/x
  3. Step 3: Cross multiply
    9,806.35x = 13,535.52 × 8,042.17
  4. Step 4: Simplify right side
    9,806.35x = 108,854,952.88
  5. Step 5: Solve for x
    x = 108,854,952.88/9,806.35
  6. Step 6: Final answer
    x = 11,100.46

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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.