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Finding the Fourth Proportional to 9,806.43, 13,538.57 and 6,455.06

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Solution

The fourth proportional to 9,806.43, 13,538.57 and 6,455.06 is: 8,911.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.43 : 13,538.57 = 6,455.06 : x
  2. Step 2: Convert to fraction form
    9,806.43/13,538.57 = 6,455.06/x
  3. Step 3: Cross multiply
    9,806.43x = 13,538.57 × 6,455.06
  4. Step 4: Simplify right side
    9,806.43x = 87,392,181.70
  5. Step 5: Solve for x
    x = 87,392,181.70/9,806.43
  6. Step 6: Final answer
    x = 8,911.72

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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.