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Finding the Fourth Proportional to 9,806.14, 13,538.82 and 8,017.93

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Solution

The fourth proportional to 9,806.14, 13,538.82 and 8,017.93 is: 11,069.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.14 : 13,538.82 = 8,017.93 : x
  2. Step 2: Convert to fraction form
    9,806.14/13,538.82 = 8,017.93/x
  3. Step 3: Cross multiply
    9,806.14x = 13,538.82 × 8,017.93
  4. Step 4: Simplify right side
    9,806.14x = 108,553,311.04
  5. Step 5: Solve for x
    x = 108,553,311.04/9,806.14
  6. Step 6: Final answer
    x = 11,069.93

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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.